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We discuss U(1) lattice gauge theory models based on a modified Villain formulation of the gauge action, which allows coupling to bosonic electric and magnetic matter.
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2004
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T. Sulejmanpasic, D. Göschl, and C. Gattringer, “First-Principles Simulations of 1+1D Quantum Field Theories at θ = π \theta=\pi and Spin Chains,” Phys. Rev. Lett
2007
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T. Sulejmanpasic, “Ising model as a U ( 1 ) U(1) lattice gauge theory with a θ \theta -term,” Phys. Rev. D
2009
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A. M. Somoza, P. Serna, and A. Nahum, “Self-Dual Criticality in Three-Dimensional Z2 Gauge Theory with Matter,” Phys. Rev. X
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S. M. Kravec and J. McGreevy, “A gauge theory generalization of the fermion-doubling theorem,” Phys. Rev. Lett
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Y. Delgado Mercado, C. Gattringer, and A. Schmidt, “Surface worm algorithm for abelian Gauge-Higgs systems on the lattice,” Comput. Phys. Commun
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C. Gattringer, D. Göschl, and T. Sulejmanpasic, “Dual simulation of the 2d U(1) gauge Higgs model at topological angle θ = π \theta=\pi\, : Critical endpoint behavior,” 1807.07793
Cited in the paper.
H. Shao, W. Guo, and A. W. Sandvik, “Quantum criticality with two length scales,” Science
2016
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D. Göschl, C. Gattringer, and T. Sulejmanpasic, “The critical endpoint in the 2d U(1) gauge-Higgs model at topological angle θ = π \theta=\pi ,” in 36th International Symposium on Lattice Field Theory (Lattice 2018) East Lansing, MI, United States, July 22-28, 2018 · 2018
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D. M. Hofman and N. Iqbal, “Goldstone modes and photonization for higher form symmetries,” SciPost Phys
2019
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M. Anosova, C. Gattringer, N. Iqbal, and T. Sulejmanpasic, “Numerical simulation of self-dual U(1) lattice field theory with electric and magnetic matter,” in 38th International Symposium on Lattice Field Theory · 2021
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P. Gorantla, H. T. Lam, N. Seiberg, and S.-H. Shao, “A modified Villain formulation of fractons and other exotic theories,” J. Math. Phys
2021
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M. Anosova, C. Gattringer, and T. Sulejmanpasic, “Self-dual U(1) lattice field theory with a θ \theta -term,” Accepted for publication in JHEP
2022
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