Disorder version of the Abelian Higgs model and the order of the superconductive phase transition

1982 ◽  
Vol 35 (13) ◽  
pp. 405-412 ◽  
Author(s):  
H. Kleinert
Keyword(s):  
Phase Transition ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Superconductive Phase

scholarly journals Cosmic string in Abelian-Higgs model with enhanced symmetry — Implication to the axion domain-wall problem

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Takashi Hiramatsu ◽  
Masahiro Ibe ◽  
Motoo Suzuki
Keyword(s):  
Phase Transition ◽  
Domain Wall ◽  
Cosmic String ◽  
Higgs Model ◽  
The Other ◽  
Spontaneous Breaking ◽  
Global Symmetry ◽  
Abelian Higgs Model ◽  
Dimensional Spacetime ◽  
Dimensional Simulation

Abstract In our previous work, we found new types of the cosmic string solutions in the Abelian-Higgs model with an enhanced U(1) global symmetry. We dubbed those solutions as the compensated/uncompensated strings. The compensated string is similar to the conventional cosmic string in the Abrikosov-Nielsen-Olesen (ANO) string, around which only the would-be Nambu-Goldstone (NG) boson winds. Around the uncompensated string, on the other hand, the physical NG boson also winds, where the physical NG boson is associated with the spontaneous breaking of the enhanced symmetry. Our previous simulation in the 2+1 dimensional spacetime confirmed that both the compensated/uncompensated strings are formed at the phase transition of the symmetry breaking. Non-trivial winding of the physical NG boson around the strings potentially causes the so-called axion domain- wall problem when the model is applied to the axion model. In this paper, we perform simulation in the 3+1 dimensional spacetime to discuss the fate of the uncompensated strings. We observe that the evolution of the string-network is highly complicated in the 3+1 dimensional simulation compared with that seen in the previous simulation. Despite such complications, we find that the number of the uncompensated strings which could cause can be highly suppressed at late times. Our observation suggests that the present setup can be applied to the axion model without suffering from the axion domain-wall problem.

scholarly journals Lattice Abelian-Higgs model with noncompact gauge fields

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Claudio Bonati ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Higgs Model ◽  
Gauge Fields ◽  
Abelian Higgs Model

Hamiltonian and BRST formulations of the two-dimensional Abelian Higgs model

2000 ◽  
Vol 78 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Usha Kulshreshtha
Keyword(s):  
Higgs Model ◽  
Two Dimensional ◽  
Abelian Higgs Model

The Hamiltonian and BRST formulations of the Abelian Higgs model in one-space one-time dimensions are investigated. PACS Nos.: 03.65+, 03.70tk, 11.10lm, 11.10Ef, 11.30Rd

scholarly journals Numerical Simulations of String Networks in the Abelian-Higgs Model

1998 ◽  
Vol 80 (11) ◽  
pp. 2277-2280 ◽  
Author(s):  
Graham Vincent ◽  
Nuno D. Antunes ◽  
Mark Hindmarsh
Keyword(s):  
Numerical Simulations ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
String Networks
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