The phase diagram of the Abelian lattice Higgs model. A review of rigorous results

1987 ◽  
Vol 47 (5-6) ◽  
pp. 877-904 ◽  
Author(s):  
Christian Borgs ◽  
Florian Nill
Keyword(s):  
Phase Diagram ◽  
Higgs Model ◽  
Rigorous Results ◽  
Abelian Lattice

scholarly journals Phase diagram of the lattice Higgs model

2010 ◽  
Vol 828 (1-2) ◽  
pp. 390-403 ◽  
Author(s):  
C. Bonati ◽  
G. Cossu ◽  
M. D'Elia ◽  
A. Di Giacomo
Keyword(s):  
Phase Diagram ◽  
Higgs Model

scholarly journals Percolation of vortices in the 3D Abelian lattice Higgs model

2008 ◽  
Vol 793 (1-2) ◽  
pp. 344-361 ◽  
Author(s):  
Sandro Wenzel ◽  
Elmar Bittner ◽  
Wolfhard Janke ◽  
Adriaan M.J. Schakel
Keyword(s):  
Higgs Model ◽  
Abelian Lattice

Phase diagram of the Abelian Higgs model

1988 ◽  
Vol 14 (8) ◽  
pp. 1013-1025 ◽  
Author(s):  
M G Amaral ◽  
M Pol ◽  
R C Schellard
Keyword(s):  
Phase Diagram ◽  
Higgs Model ◽  
Abelian Higgs Model

Some rigorous results on the phase diagram of the dilute Ising model

1983 ◽  
Vol 94 (6-7) ◽  
pp. 309-311 ◽  
Author(s):  
E. Olivieri ◽  
J.Fernando Perez ◽  
S.Goulart Rosa
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Rigorous Results ◽  
Dilute Ising Model

scholarly journals On the phase diagram of the SU(2) adjoint Higgs model in 2+1 dimensions

1997 ◽  
Vol 396 (1-4) ◽  
pp. 217-224 ◽  
Author(s):  
A. Hart ◽  
O. Philipsen ◽  
J.D. Stack ◽  
M. Teper
Keyword(s):  
Phase Diagram ◽  
Higgs Model

scholarly journals Topological aspects of 4D Abelian lattice gauge theories with the θ parameter

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Masazumi Honda ◽  
Yuya Tanizaki
Keyword(s):  
Phase Diagram ◽  
Gauge Theories ◽  
Global Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Self Duality ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
The Rich ◽  
Abelian Lattice

Abstract We study a four-dimensional U(1) gauge theory with the θ angle, which was originally proposed by Cardy and Rabinovici. It is known that the model has the rich phase diagram thanks to the presence of both electrically and magnetically charged particles. We discuss the topological nature of the oblique confinement phase of the model at θ = π, and show how its appearance can be consistent with the anomaly constraint. We also construct the SL(2, ℤ) self-dual theory out of the Cardy-Rabinovici model by gauging a part of its one-form symmetry. This self-duality has a mixed ’t Hooft anomaly with gravity, and its implications on the phase diagram is uncovered. As the model shares the same global symmetry and ’t Hooft anomaly with those of SU(N) Yang-Mills theory, studying its topological aspects would provide us more hints to explore possible dynamics of non-Abelian gauge theories with nonzero θ angles.

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