scholarly journals Gauge parameter dependence and gauge invariance in the Abelian Higgs model

1997 ◽  
Vol 75 (4) ◽  
pp. 739 ◽  
Author(s):  
Rainer Häußling ◽  
Elisabeth Kraus
Keyword(s):  
Gauge Invariance ◽  
Higgs Model ◽  
Parameter Dependence ◽  
Gauge Parameter ◽  
Abelian Higgs Model

PHASE TRANSITIONS IN THE ABELIAN HIGGS MODEL AT FINITE DENSITIES

1991 ◽  
Vol 06 (23) ◽  
pp. 4063-4076 ◽  
Author(s):  
V.J. PETER ◽  
M. SABIR
Keyword(s):  
Phase Transitions ◽  
Density Dependence ◽  
Gauge Invariance ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Higgs Model ◽  
Coupling Constants ◽  
Abelian Higgs Model ◽  
Multiple Phase ◽  
The One

We study the U(1)-invariant Abelian Higgs model at a finite temperature and a finite chemical potential, at the one-loop level of approximation, and show the existence of chemical-potential-induced multiple-phase transitions at finite temperatures. The temperature and density dependence of the coupling constants is also analyzed. The gauge invariance of the results obtained is demonstrated.

scholarly journals EFFECTIVE POTENTIALS AND SYMMETRY RESTORATION IN THE CHIRAL ABELIAN HIGGS MODEL

1995 ◽  
Vol 10 (12) ◽  
pp. 997-1009
Author(s):  
JENS O. ANDERSEN
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Effective Theory ◽  
Gauge Parameter ◽  
Dimensional Theory ◽  
Abelian Higgs Model ◽  
Effective Potentials ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to leading order in m2/T2. The effective potential for the composite operator ɸ†ɸ is calculated at one-loop for the resulting three-dimensional theory and it is shown that the result is gauge parameter independent. The numerical investigation of the potential reveals that the symmetry is restored via a first-order phase transition. Comparison with the ordinary ring improved potential is made and it is found that the barrier height at Tc is somewhat higher.

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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