Phase structure, magnetic monopoles, and vortices in the lattice Abelian Higgs model

1983 ◽  
Vol 28 (2) ◽  
pp. 360-372 ◽  
Author(s):  
J. Ranft ◽  
J. Kripfganz ◽  
G. Ranft
Keyword(s):  
Phase Structure ◽  
Magnetic Monopoles ◽  
Higgs Model ◽  
Abelian Higgs Model

scholarly journals Phase structure and gauge boson propagator in the radially active 3D compact Abelian Higgs model

2004 ◽  
Vol 70 (7) ◽  
Author(s):  
M. N. Chernodub ◽  
R. Feldmann ◽  
E.-M. Ilgenfritz ◽  
A. Schiller
Keyword(s):  
Gauge Boson ◽  
Phase Structure ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Boson Propagator

scholarly journals Abelian-Higgs model from Cho–Faddeev–Niemi decomposition

2014 ◽  
Vol 29 (08) ◽  
pp. 1450047 ◽  
Author(s):  
A. Mohamadnejad ◽  
S. Deldar
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Magnetic Monopoles ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
Yang Mills ◽  
Vortex Solutions ◽  
Mills Field

Applying Cho–Faddeev–Niemi decomposition for SU(2) Yang–Mills field, we obtain the Abelian–Higgs Lagrangian by some approximation. Abelian–Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as Nielsen–Olesen solutions. We conclude that vortices as well as magnetic monopoles can exist in Cho–Faddeev–Niemi decomposition of SU(2) Yang–Mills field.

The phase structure of the non-compact abelian Higgs model

1988 ◽  
Vol 300 ◽  
pp. 159-179 ◽  
Author(s):  
John Oliensis ◽  
Peter Suranyi
Keyword(s):  
Phase Structure ◽  
Higgs Model ◽  
Abelian Higgs Model

scholarly journals Phase structure of the 5D abelian Higgs model with anisotropic couplings

2001 ◽  
Vol 2001 (02) ◽  
pp. 005-005 ◽  
Author(s):  
Petros Dimopoulos ◽  
Konstadinos Farakos ◽  
George Koutsoumbas ◽  
Chris P Korthals-Altes ◽  
Stam Nicolis
Keyword(s):  
Phase Structure ◽  
Higgs Model ◽  
Abelian Higgs Model

Phase structure of the three-dimensional radially active Abelian Higgs model

1988 ◽  
Vol 40 (3) ◽  
pp. 465-470 ◽  
Author(s):  
Kostas Farakos ◽  
George Koutsoumbas ◽  
Stavros Sarantakos
Keyword(s):  
Phase Structure ◽  
Three Dimensional ◽  
Higgs Model ◽  
Abelian Higgs Model

RENORMALIZATION-GROUP STUDY OF THE MASSIVE SINE–GORDON THEORY AND PHASE STRUCTURE OF THE ABELIAN HIGGS MODEL

1994 ◽  
Vol 09 (07) ◽  
pp. 1043-1065 ◽  
Author(s):  
IKUO ICHINOSE ◽  
HISAMITSU MUKAIDA
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Mass Region ◽  
Higgs Model ◽  
Effective Density ◽  
Pairing Mechanism ◽  
Long Distance ◽  
Dynamical Mass ◽  
Abelian Higgs Model ◽  
Topological Field

Mapping the Abelian Higgs model to the massive sine–Gordon theory, the phase structure of the Abelian Higgs model is studied. The effect of interaction between instantons in the Abelian Higgs model is treated through the renormalization-group study of the massive sine–Gordon model. In the small dynamical-mass region the interaction between instantons is not negligible, and the effective density of instantons becomes very low at long distance (over the crossover distance) by the pairing mechanism. Therefore, the Abelian Higgs model reduces to a massive scalar theory interacting with very dilute instantons. In the large dynamical-mass region, the pairing mechanism of instanton and anti-instanton does not occur. This crossover phenomenon can be observed by the Wilson loop of a fractional charge. The relationship with the massive Schwinger–Thirring model is also discussed. It is also shown that the recently studied topological-field region is an ultraviolet fixed point of the renormalization-group flow.

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