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Reviews, Overview Articles and Lecture Notes
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[17]
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Quantum Gravity from Causal Dynamical Triangulations: A Review
Classical and Quantum Gravity 37 (2020) 013002
[online article].
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[16]
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Causal Dynamical Triangulations and the Search for a Theory of Quantum Gravity
(with J. Ambjørn, Görlich, J. Jurkiewicz)
International Journal of Modern Physics D 22 (2013) 1330019
[online article].
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[15]
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Quantum Gravity via Causal Dynamical Triangulations
(with J. Ambjørn, Görlich, J. Jurkiewicz)
in Springer Handbook of Spacetime Eds. A Ashtekar and V. Petkov (Springer, 2014) 723-741
[arXiv: 1302.2173, hep-th].
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[14]
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Nonperturbative Quantum Gravity
(with J. Ambjørn, Görlich, J. Jurkiewicz)
Physics Reports 519 (2012) 127-212
[arXiv: 1203.3591, hep-th].
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[13]
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Lattice Quantum Gravity - An Update
(with J. Ambjørn, J. Jurkiewicz)
PoS LATTICE2010 25 (2010) 014
[arXiv: 1105.5582, hep-lat].
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[12]
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CDT - an Entropic Theory of Quantum Gravity
(with J. Ambjørn, A. Görlich, J. Jurkiewicz)
[arXiv: 1007.2560, hep-th].
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[11]
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Causal Dynamical Triangulations and the Quest for Quantum Gravity
(with J. Ambjørn, J. Jurkiewicz)
in Foundations of Space and Time, eds. J. Murugan, A. Weltman and G.F.R. Ellis,
Cambridge Univ. Press (2012) 321-337
[arXiv: 1004.0352, hep-th].
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[10]
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Quantum gravity as sum over spacetimes
(with J. Ambjørn, J. Jurkiewicz)
Lecture Notes in Physics 807 (2010) 59-124
[arXiv: 0906.3947, gr-qc].
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[9]
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The Emergence of Spacetime, or, Quantum Gravity on Your Desktop
Classical and Quantum Gravity 25 (2008) 114006
[arXiv: 0711.0273, gr-qc].
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[8]
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Quantum Gravity, or The Art of Building Spacetime
(with J. Ambjørn, J. Jurkiewicz)
in Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter,
Ed. D. Oriti (Cambridge Univ. Press, 2009) 341-359
[arXiv: hep-th/0604212].
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[7]
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The Universe from Scratch
(with J. Ambjørn, J. Jurkiewicz)
Contemporary Physics 47 (2006) 103-117
[arXiv: hep-th/0509010].
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[6]
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Discrete History of the Lorentzian Path Integral
in Quantum Gravity: From Theory to Experimental Search,
Eds. D. Giulini et al.,
Lecture Notes in Physics 631 (2003) 137-171
[arXiv: hep-th/0212340].
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[5]
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Lorentzian and Euclidean Quantum Gravity: Analytical and Numerical Results
(with J. Ambjørn, J. Jurkiewicz)
in
Proceedings of M-Theory and Quantum Geometry, 1999 NATO Advanced Study Institute, Akureyri,
Island, Eds. L. Thorlacius et al. (Kluwer, 2000) 382-449
[arXiv: hep-th/0001124].
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[4]
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Discrete Approaches to Quantum Gravity in Four Dimensions
Living Reviews in Relativity 13 (1998)
[online article].
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[3]
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Quantum Aspects of 2+1 Gravity
Journal of Mathematical Physics 36 (1995) 6494-6509
[arXiv: gr-qc/9503051].
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[2]
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Gauge Theory and Gravity in the Loop Formulation
in Canonical Gravity: From Classical to Quantum, Eds. J. Ehlers et al.,
Lecture Notes in Physics 434 (1994) 254-288.
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[1]
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Loop Formulation of Gauge Theory and Gravity
in Knots and Quantum Gravity, Ed. J. Baez (Clarendon Press, Oxford, 1994) 1-19.
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More popular accounts of my work can be found in the "Press" section.
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Causal Dynamical Triangulations in Four Dimensions
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[25]
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Curvature Profiles for Quantum Gravity
(with J. Brunekreef)
Physical Review D 103 (2021) 2, 026019
[arXiv: 2011.10168, gr-qc].
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[24]
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How Round is the Quantum de Sitter Universe?
(with N. Klitgaard)
The European Physical Journal C 80 (2020) 10, 990
[arXiv: 2006.06263, hep-th].
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[23]
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Renormalization in Quantum Theories of Geometry
(with J. Ambjørn, J. Gizbert-Studnicki, A. Görlich, J. Jurkiewicz)
Frontiers in Physics 8 (2020) 247
[arXiv: 2002.01693, hep-th].
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[22]
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Implementing Quantum Ricci Curvature
(with N. Klitgaard)
Physical Review D 97 (2018) 10, 106017
[arXiv: 1802.10524, hep-th].
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[21]
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Introducing Quantum Ricci Curvature
(with N. Klitgaard)
Physical Review D 97 (2018) 4, 046008
[arXiv: 1712.08847, hep-th].
|
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[20]
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CDT and Cosmology
(with L. Glaser)
Comptes Rendus Physique 18 (2017) 265-274
[arXiv: 1703.08160, gr-qc].
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[19]
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Characteristics of the New Phase in CDT
(with J. Ambjørn, J. Gizbert-Studnicki, A. Görlich, J. Jurkiewicz, N. Klitgaard)
The European Physical Journal C 77 (2017) 3, 152
[arXiv: 1610.05245, hep-th].
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[18]
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Wilson Loops in Nonperturbative Quantum Gravity
(with J. Ambjørn, A. Görlich, J. Jurkiewicz)
Physical Review D 92 (2015) 2, 02401
[arXiv: 1504.01065, gr-qc].
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[17]
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Renormalization Group Flow in Causal Dynamical Triangulations
(with J. Ambjørn, A. Görlich, J. Jurkiewicz, A. Kreienbuehl)
Classical and Quantum Gravity 31 (2014) 165003
[arXiv: 1405.4585, hep-th].
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[16]
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Second- and First-Order Phase Transitions in Causal Dynamical Triangulations
(with J. Ambjørn, S. Jordan, J. Jurkiewicz)
Physical Review D 85 (2012) 124044
[arXiv: 1205.1229, hep-th].
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[15]
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A Second-Order Phase Transition in Causal Dynamical Triangulations
(with J. Ambjørn, S. Jordan, J. Jurkiewicz)
Physical Review Letters 107 (2011) 211303
[arXiv: 1108.3932, hep-th].
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[14]
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The Semiclassical Limit of Causal Dynamical Triangulations
(with J. Ambjørn, A. Görlich, J. Jurkiewicz, J. Gizbert-Studnicki, T. Trzesniewski)
Nuclear Physics B 849 (2011) 144-165
[arXiv: 1102.3929, hep-th].
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[13]
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Coupling a Point-Like Mass to Quantum Gravity with Causal Dynamical Triangulations
(with I. Khavkine and P. Reska)
Classical and Quantum Gravity 27 (2010) 185025
[arXiv: 1002.4618, gr-qc].
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[12]
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CDT Meets Hořava–Lifshitz Gravity
(with J. Ambjørn, A. Görlich, S. Jordan, J. Jurkiewicz)
Physics Letters B 690 (2010) 413-419
[arXiv: 1002.3298, hep-th].
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[11]
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Geometry of the Quantum Universe
(with J. Ambjørn, A. Görlich, J. Jurkiewicz)
Physics Letters B 690 (2010) 420-426
[arXiv: 1001.4581, hep-th].
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[10]
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The Self-Organized de Sitter Universe
(with J. Ambjørn, J. Jurkiewicz)
International Journal of Modern Physics D 17 (2009) 2515-2520
[arXiv: 0806.0397, gr-qc].
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[9]
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The Nonperturbative Quantum de Sitter Universe
(with J. Ambjørn, A. Görlich, J. Jurkiewicz)
Physical Review D 78 (2008) 063544
[arXiv: 0807.4481, hep-th].
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[8]
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Planckian Birth of the Quantum de Sitter Universe
(with J. Ambjørn, A. Görlich, J. Jurkiewicz)
Physical Review Letters 100 (2008) 091304
[arXiv: 0712.2485, hep-th].
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[7]
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Counting a Black Hole in Lorentzian Product Triangulations
(with B. Dittrich)
Classical and Quantum Gravity 23 (2006) 3849-3878
[arXiv: gr-qc/0506035].
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[6]
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Reconstructing the Universe
(with J. Ambjørn, J. Jurkiewicz)
Physical Review D 72 (2005) 064014
[arXiv: hep-th/0505154].
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[5]
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Spectral Dimension of the Universe
(with J. Ambjørn, J. Jurkiewicz)
Physical Review Letters 95 (2005) 171301
[arXiv: hep-th/0505113].
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[4]
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Semiclassical Universe from First Principles
(with J. Ambjørn, J. Jurkiewicz)
Physics Letters B 607 (2005) 205-213
[arXiv: hep-th/0411152].
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[3]
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Emergence of a 4D World from Causal Quantum Gravity
(with J. Ambjørn, J. Jurkiewicz)
Physical Review Letters 93 (2004) 131301
[arXiv: hep-th/0404156].
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[2]
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Dynamically Triangulating Lorentzian Quantum Gravity
(with J. Ambjørn, J. Jurkiewicz)
Nuclear Physics B 610 (2001) 347-382
[arXiv: hep-th/0105267].
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[1]
|
A Non-Perturbative Lorentzian Path Integral for Gravity
(with J. Ambjørn, J. Jurkiewicz)
Physical Review Letters 85 (2000) 924-927
[arXiv: hep-th/0002050].
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Other Interesting Topics in (Quantum) Gravity
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[4]
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Geometric Flux Formula for the Gravitational Wilson Loop
(with N. Klitgaard, M. Reitz and R. Toriumi)
Classical and Quantum Gravity 38 (2021) 7, 075011
[arXiv: 2004.04700, gr-qc].
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[3]
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Spherically Symmetric Solutions to the λ-R Model
(with L. Pires)
Physical Review D 96 (2017) 4, 044030
[arXiv: 1407.1259, hep-th].
|
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[2]
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Role of the Extra Coupling in the Kinetic Term in Horava-Lifshitz Gravity
(with L. Pires)
Physical Review D 90 (2014) 12, 124050
[arXiv: 1407.1259, hep-th].
|
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[1]
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A Proper-Time Cure for the Conformal Sickness in Quantum Gravity
(with A. Dasgupta)
Nuclear Physics B 606 (2001) 357-379
[arXiv: hep-th/0103186].
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Causal Dynamical Triangulations in Three Dimensions
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[9]
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De Sitter Universe from Causal Dynamical Triangulations without Preferred Foliation
(with S. Jordan)
Physical Review D 88 (2013) 044055
[arXiv: 1307.5469, hep-th].
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[8]
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Exploring Torus Universes in Causal Dynamical Triangulations
(with T. Budd)
Physical Review D 88 (2013) 024015
[arXiv: 1305.4702, hep-th].
|
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[7]
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Causal Dynamical Triangulations without Preferred Foliation
(with S. Jordan)
Physics Letters B 724 (2013) 155
[arXiv: 1305.4582, hep-th].
|
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[6]
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(2+1)-Dimensional Quantum Gravity as the Continuum Limit of Causal Dynamical Triangulations
(with D. Benedetti and F. Zamponi)
Physical Review D 76 (2007) 104022
[arXiv: 0704.3214, hep-th].
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[5]
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3D Lorentzian Quantum Gravity from the Asymmetric ABAB Matrix Model
(with J. Ambjørn, J. Jurkiewicz, G. Vernizzi)
Acta Physica Polonica B 34 (2003) 4667
[arXiv: hep-th/0311072].
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[4]
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Renormalization of 3d Quantum Gravity from Matrix Models
(with J. Ambjørn, J. Jurkiewicz)
Physics Letters B 581 (2004) 255-262
[arXiv: hep-th/0307263].
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[3]
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A Hexagon Model for 3d Lorentzian Quantum Cosmology
(with B. Dittrich)
Physical Review D 66 (2002) 084016
[arXiv: hep-th/0204210].
|
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[2]
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Lorentzian 3d Gravity with Wormholes via Matrix Models
(with J. Ambjørn, J. Jurkiewicz, G. Vernizzi)
Journal High Energy Physics 0109 (2001) 022
[arXiv: hep-th/0106082].
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[1]
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Non-Perturbative 3d Lorentzian Quantum Gravity
(with J. Ambjørn, J. Jurkiewicz, G. Vernizzi)
Physical Review D 64 (2001) 044011
[arXiv: hep-th/0011276].
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Loop Quantum Gravity in Four Dimensions
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[9]
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On the Diffeomorphism Commutators of Lattice Quantum Gravity
Classical and Quantum Gravity 15 (1998) 799-820
[arXiv: gr-qc/9708025].
|
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[8]
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Simplifying the Spectral Analysis of the Volume Operator
Nuclear Physics B 500 (1997) 405-420
[arXiv: gr-qc/9706038].
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[7]
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Imposing det E > 0 in Discrete Quantum Gravity
Physics Letters B 399 (1997) 227-232
[arXiv: gr-qc/9703033].
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[6]
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Further Results on Geometric Operators in Quantum Gravity
Classical and Quantum Gravity 14 (1997) 1725-1741
[arXiv: gr-qc/9612068].
|
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[5]
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A Real Alternative to Quantum Gravity in Loop Space
Physical Review D 54 (1996) 5381-5384
[arXiv: gr-qc/9602041].
|
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[4]
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Spectrum of the Volume Operator in Quantum Gravity
Nuclear Physics B 460 (1996) 143-154
[arXiv: gr-qc/9511030].
|
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[3]
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Making Quantum Gravity Calculable
Acta Cosmologica 21-2 (1995) 131-144
[arXiv: gr-qc/9511080].
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[2]
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Volume Operator in Discretized Quantum Gravity
Physical Review Letters 75 (1995) 3048-3051
[arXiv: gr-qc/9506014].
|
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[1]
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Non-Perturbative Solutions for Lattice Quantum Gravity
Nuclear Physics B 444 (1995) 619-639
[arXiv: gr-qc/9502006].
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Canonical (Quantum) Gravity in Three Dimensions
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[4]
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In Search of Fundamental Discreteness in 2+1 Dimensional Quantum Gravity
(with T. Budd)
Classical and Quantum Gravity 26 (2009) 185011
[arXiv: 0906.3547, gr-qc].
|
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[3]
|
(2+1) Gravity for Higher Genus in the Polygon Model
(with Z. Kadar)
Classical and Quantum Gravity 21 (2004) 2465-2491
[arXiv: gr-qc/0312043].
|
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[2]
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Independent Loop Invariants for 2+1 Gravity
Classical and Quantum Gravity 12 (1995) 1655-1662
[arXiv: gr-qc/9408007].
|
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[1]
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New Loop Representations for 2+1 Gravity
(with A. Ashtekar)
Classical and Quantum Gravity 11 (1994) 2417-34
[arXiv: gr-qc/9405031].
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Causal Dynamical Triangulations in Two Dimensions
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[19]
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Locally Causal Dynamical Triangulations in Two Dimensions
(with B. Ruijl)
Physical Review D 92 (2015) 084002
[arXiv: 1507.04566 hep-th].
|
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[18]
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Baby Universes Revisited
(with J. Ambjørn, J. Barkley, T. Budd)
Physics Letters B 706 (2011) 86-89,
[arXiv: 1110.3998 hep-th].
|
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[17]
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Stochastic Quantization and the Role of Time in Quantum Gravity
(with J. Ambjørn, W. Westra, S. Zohren)
Physics Letters B 680 (2009) 359-364,
[arXiv: 0908.4224 hep-th].
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[16]
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Summing over all Topologies in CDT String Field Theory
(with J. Ambjørn, W. Westra, S. Zohren)
Physics Letters B 678 (2009) 227-232
[arXiv: 0905.2108 hep-th].
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[15]
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A New Continuum Limit for Matrix Models
(with J. Ambjørn, Y. Watabiki, W. Westra, S. Zohren)
Physics Letters B 670 (2008) 224-230
[arXiv: 0810.2408 hep-th].
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[14]
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Shaken, but not Stirred - Potts Model Coupled to Quantum Gravity
(with J. Ambjørn, K.N. Anagnostopoulos, I. Pushkina)
Nuclear Physics B 807 (2009) 251-264
[arXiv: 0806.3506 hep-lat].
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[13]
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A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
(with J. Ambjørn, Y. Watabiki, W. Westra, S. Zohren)
Physics Letters B 665 (2008) 252-256
[arXiv: 0804.0252 hep-th].
|
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[12]
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A String Field Theory based on Causal Dynamical Triangulations
(with J. Ambjørn, Y. Watabiki, W. Westra, S. Zohren)
Journal High Energy Physics 05 (2008) 032
[arXiv: 0802.0719 hep-th].
|
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[11]
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Putting a Cap on Causality Violations in CDT
(with J. Ambjørn, W. Westra, S. Zohren)
Journal High Energy Physics 12 (2007) 017
[arXiv: 0709.2784, gr-qc].
|
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[10]
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Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations
(with D. Benedetti)
General Relativity and Gravitation 39 (2007) 863-898
[arXiv: gr-qc/0611075].
|
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[9]
|
Unexpected Spin-Off from Quantum Gravity
(with D. Benedetti)
Physica A 377 (2007) 373-380
[arXiv: hep-lat/0603013].
|
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[8]
|
Taming the Cosmological Constant in 2D Causal Quantum Gravity with Topology Change
(with W. Westra and S. Zohren)
Nuclear Physics B 751 (2006) 419-435
[arXiv: hep-th/0507012].
|
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[7]
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Space-Time Foam in 2d and the Sum over Topologies
(with W. Westra)
Acta Physica Polonica B 34 (2003) 4997-5008
[arXiv: hep-th/0309012].
|
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[6]
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Sum over Topologies and Double-Scaling Limit in 2D Lorentzian Quantum Gravity
(with W. Westra)
Classical and Quantum Gravity 23 (2006) 465-472
[arXiv: hep-th/0306183].
|
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[5]
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The Relation between Euclidean and Lorentzian 2D Quantum Gravity
(with J. Ambjørn, J. Correia, C. Kristjansen)
Physics Letters B 475 (2000) 24-32
[arXiv: hep-th/9912267].
|
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[4]
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Crossing the c=1 Barrier in 2d Lorentzian Quantum Gravity
(with J. Ambjørn, K.N. Anagnostopoulos)
Physical Review D 61 (2000) 044010
[arXiv: hep-lat/9909129].
|
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[3]
|
A New Perspective on Matter Coupling in Two-Dimensional Gravity
(with J. Ambjørn, K.N. Anagnostopoulos)
Physical Review D 60 (1999) 104035
[arXiv: hep-th/9904012].
|
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[2]
|
Euclidean and Lorentzian Quantum Gravity: Lessons from Two Dimensions
(with J. Ambjørn, J.L. Nielsen, J. Rolf)
Journal of Chaos, Solitons and Fractals 10 (1999) 177-195
[arXiv: hep-th/9806241].
|
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[1]
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Non-Perturbative Lorentzian Quantum Gravity, Causality and Topology Change
(with J. Ambjørn)
Nuclear Physics B 536 (1998) 407-434
[arXiv: hep-th/9805108].
|
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Loop Formulation of Yang-Mills Theory
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[6]
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Generalized Coordinates on the Phase Space of Yang-Mills Theory
(with J.M. Mourão and J.N. Tavares)
Classical and Quantum Gravity 12 (1995) 1191-1198
[arXiv: gr-qc/9404060].
|
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[5]
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Complexification of Gauge Theories
(with J.M. Mourão and J.N. Tavares)
Journal of Geometry and Physics 17 (1996) 1-24
[arXiv: hep-th/9307142].
|
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[4]
|
Loop Variable Inequalities in Gravity and Gauge Theory
Classical and Quantum Gravity 10 (1993) 1471-1476
[arXiv: gr-qc/9303028].
|
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[3]
|
Loop Approaches to Gauge Field Theory
Teoreticheskaya i Matematicheskaya Fizika 93 (1992) 481-505.
|
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[2]
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Yang-Mills Theory without Mandelstam Constraints
Nuclear Physics B 400 (1993) 126-144.
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[1]
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Independent SU(2)-Loop Variables and the Reduced Configuration Space of SU(2)-Lattice Gauge Theory
Nuclear Physics B 368 (1992) 121-142.
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Quantization of Constrained Hamiltonian Systems
|
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[7]
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Symplectic Reduction via Complex Group Actions
(with J.M. Mourão and J.N. Tavares)
in Constraint Theory and Quantization Methods ,
Eds. F. Colomo, L. Lusanna and G. Marmo (World Scientific, Singapore, 1994) 291-304.
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[6]
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Symmetry and Quantization: Higher-Order Polarizations and Anomalies
(with V. Aldaya, J. Bisquert, J. Navarro-Salas)
Journal of Mathematical Physics 33 (1992) 3087-3097.
|
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[5]
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Quantum Dynamics on (Super) Groups: Constraints and the BRST-Supergroup
(with V. Aldaya, J. Navarro-Salas)
Journal of Mathematical Physics 32 (1991) 3346-3360.
|
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[4]
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Noncommutativity of Constraining and Quantizing: A U(1)-Gauge Model
Physical Review D 41 (1990) 3785-3791.
|
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[3]
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The Electromagnetic Group: Bosonic BRST Charge
(with V. Aldaya, J. Navarro-Salas)
Physics Letters B 237 (1990) 392-396.
|
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[2]
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BRST-Supergroups and Quantization
(with V. Aldaya, J. Navarro-Salas)
Physics Letters B 225 (1989) 340-346.
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[1]
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The Extended Phase Space of the BRS Approach
Communications in Mathematical Physics 119 (1988) 509-527.
|