Bibliography

ADC21

Michael Aizenman and Hugo Duminil-Copin. Marginal triviality of the scaling limits of critical 4D Ising and $\phi _4^4$ models. Ann. of Math. (2), 194(1):163–235, 2021. URL: https://doi.org/10.4007/annals.2021.194.1.3, doi:10.4007/annals.2021.194.1.3.

Amb22

Jan Ambjorn. Elementary quantum geometry. arXiv preprint, 2022. URL: https://arxiv.org/abs/2204.00859.

AmbjornDJ97

Jan Ambjørn, Bergfinnur Durhuus, and Thordur Jonsson. Quantum Geometry: A Statistical Field Theory Approach. Cambridge University Press, 1997. URL: https://www.cambridge.org/core/books/quantum-geometry/943681B03BE0B8D34BC666C22EA18713, doi:10.1017/CBO9780511524417.

AGJL12

J. Ambjørn, A. Görlich, J. Jurkiewicz, and R. Loll. Nonperturbative quantum gravity. Physics Reports, 519(4):127–210, 2012. Nonperturbative Quantum Gravity. URL: https://www.sciencedirect.com/science/article/pii/S0370157312001482, doi:https://doi.org/10.1016/j.physrep.2012.03.007.

Cre85

Michael Creutz. Quarks, gluons and lattices. Volume 8. Cambridge University Press, 1985.

Jos20

Anosh Joseph. Markov Chain Monte Carlo Methods in Quantum Field Theories: A Modern Primer. Springer Briefs in Physics, 2020. arXiv:1912.10997v3, doi:10.1007/978-3-030-46044-0.

Kra06

Werner Krauth. Statistical Mechanics. Oxford University Press, USA, 2006. ISBN 9780198515364. URL: https://global.oup.com/ukhe/product/statistical-mechanics-algorithms-and-computations-9780198515364?cc=nl&lang=en&.

Lui06

E. Luijten. Introduction to Cluster Monte Carlo Algorithms, pages 13–38. Springer Berlin Heidelberg, Berlin, Heidelberg, 2006. URL: https://doi.org/10.1007/3-540-35273-2_1, doi:10.1007/3-540-35273-2_1.

MRR+53

Nicholas Metropolis, Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller. Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6):1087–1092, 1953. doi:10.1063/1.1699114.

MM94

Istvan Montvay and Gernot Münster. Quantum Fields on a Lattice. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1994. doi:10.1017/CBO9780511470783.

Mor07

Colin Morningstar. The monte carlo method in quantum field theory. arXiv preprint hep-lat/0702020, 2007. URL: https://arxiv.org/abs/hep-lat/0702020.

NB99

M.E.J. Newman and G.T. Barkema. Monte Carlo Methods in Statistical Physics. Clarendon Press, 1999. ISBN 9780191589867. URL: https://books.google.nl/books?id=HgBREAAAQBAJ.

Nor97

J. R. Norris. Markov Chains. Cambridge University Press, feb 1997. URL: https://www.cambridge.org/core/books/markov-chains/A3F966B10633A32C8F06F37158031739, doi:10.1017/cbo9780511810633.

Owe13

Art B. Owen. Monte Carlo theory, methods and examples. online, 2013. URL: https://artowen.su.domains/mc/.

Rot12

Heinz J Rothe. Lattice gauge theories: an introduction. World Scientific Publishing Company, 2012.

Rum

Kari Rummukainen. Monte carlo simulation methods: lecture notes. URL: https://www.mv.helsinki.fi/home/rummukai/lectures/montecarlo_oulu/.

Smi02

Jan Smit. Introduction to Quantum Fields on a Lattice. Cambridge Lecture Notes in Physics. Cambridge University Press, 2002. doi:10.1017/CBO9780511583971.

Ula91

Stanislaw M. Ulam. Adventures of a mathematician. Scribners, 1991.