Bibliography

1

Jacques Villain. Theory of one- and two-dimensional magnets with an easy magnetization plane. ii. the planar, classical, two-dimensional magnet. J. Phys. France, 36(6):581–590, 1975. doi:10.1051/jphys:01975003606058100.

2

Evan Berkowitz, Aleksey Cherman, and Theodore Jacobson. Exact lattice chiral symmetry in 2d gauge theory. Phys. Rev. D, 110(1):014510, 2024. arXiv:2310.17539, doi:10.1103/PhysRevD.110.014510.

3

Nikolay Prokof'ev and Boris Svistunov. Worm algorithms for classical statistical models. Phys. Rev. Lett., 87:160601, Sep 2001. URL: https://link.aps.org/doi/10.1103/PhysRevLett.87.160601, doi:10.1103/PhysRevLett.87.160601.

4

Christof Gattringer, Daniel Göschl, and Tin Sulejmanpasic. Dual simulation of the 2d U(1) gauge Higgs model at topological angle θ = π: Critical endpoint behavior. Nucl. Phys. B, 935:344–364, 2018. arXiv:1807.07793, doi:10.1016/j.nuclphysb.2018.08.017.

5

Ulli Wolff. Monte Carlo errors with less errors. Comput. Phys. Commun., 156:143–153, 2004. [Erratum: Comput.Phys.Commun. 176, 383 (2007)]. arXiv:hep-lat/0306017, doi:10.1016/S0010-4655(03)00467-3.

6

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, 6 1953. URL: https://doi.org/10.1063/1.1699114, doi:10.1063/1.1699114.

7

Jülich Supercomputing Centre. JURECA: Data Centric and Booster Modules implementing the Modular Supercomputing Architecture at Jülich Supercomputing Centre. Journal of large-scale research facilities, 2021. URL: http://dx.doi.org/10.17815/jlsrf-7-182, doi:10.17815/jlsrf-7-182.

8

W. Janke and K. Nather. High precision MonteCarlo study of the 2-dimensional XY Villain model. Phys. Rev. B, 48:7419–7433, 1993. doi:10.1103/PhysRevB.48.7419.

9

Evan Berkowitz, Seth Buesing, Shi Chen, Aleksey Cherman, and Srimoyee Sen. Generalized BKT Transitions and Persistent Order on the Lattice. In 41st International Symposium on Lattice Field Theory, PoS(LATTICE2024)384. 8 2024. arXiv:2409.00502.