Ising model as a $U(1)$ Lattice Gauge Theory with a $\theta$-term

T. Sulejmanpasic and C. Gattringer, “Abelian gauge theories on the lattice: θ \theta -terms and compact gauge theory with(out) monopoles,” arXiv:1901.02637 [hep-lat]

Original

1901

Earlier work this paper cites.

C. Gattringer and P. Törek, “Topology and index theorem with a generalized Villain lattice action – a test in 2d,” Phys. Lett

Original

1905

Earlier work this paper cites.

H. Kramers and G. Wannier, “Statistics of the two-dimensional ferromagnet. Part 1.,” Phys. Rev

1941

Earlier work this paper cites.

J. Villain, “Theory of one-dimensional and two-dimensional magnets with an easy magnetization plane. 2. The Planar, classical, two-dimensional magnet,” J. Phys.(France)

1975

Earlier work this paper cites.

T. Banks, R. Myerson, and J. B. Kogut, “Phase Transitions in Abelian Lattice Gauge Theories,” Nucl. Phys. B

1977

Earlier work this paper cites.

A. M. Polyakov, “Quark Confinement and Topology of Gauge Groups,” Nucl. Phys. B

1977

Earlier work this paper cites.

M. E. Peskin, “Mandelstam ’t Hooft Duality in Abelian Lattice Models,” Annals Phys

1978

Earlier work this paper cites.

S. R. Coleman, “The Uses of Instantons,” Subnucl. Ser

1979

Cited alongside, same era.

E. Witten, “Instantons, the Quark Model, and the 1/n Expansion,” Nucl. Phys. B

1979

Cited alongside, same era.

S. Elitzur, R. Pearson, and J. Shigemitsu, “The Phase Structure of Discrete Abelian Spin and Gauge Systems,” Phys. Rev. D

1979

Cited alongside, same era.

B. Berg and M. Luscher, “Definition and Statistical Distributions of a Topological Number in the Lattice O(3) Sigma Model,” Nucl. Phys. B

1981

Cited alongside, same era.

J. L. Cardy and E. Rabinovici, “Phase Structure of Z(p) Models in the Presence of a Theta Parameter,” Nucl. Phys. B

1982

Cited alongside, same era.

B. Svetitsky and L. G. Yaffe, “Critical Behavior at Finite Temperature Confinement Transitions,” Nucl. Phys. B

I. Affleck, “Nonlinear sigma model at Theta = pi: Euclidean lattice formulation and solid-on-solid models,” Phys. Rev. Lett

1991

Later among the works it cites.

E. O. Tuck, “On positivity of fourier transforms,” Bulletin of the Australian Mathematical Society

2006

Later among the works it cites.

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

Original

2007

Later among the works it cites.

M. Honda and Y. Tanizaki, “Topological aspects of 4 4 D Abelian lattice gauge theories with the θ \theta parameter,” JHEP

Original

2009

Later among the works it cites.

C. Gattringer and K. Langfeld, “Approaches to the sign problem in lattice field theory,” Int. J. Mod. Phys. A

Original