scholarly journals INTERACTING WESS–ZUMINO–NOVIKOV–WITTEN MODELS

1996 ◽  
Vol 11 (14) ◽  
pp. 2591-2611
Author(s):  
OLEG A. SOLOVIEV
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Chiral Model ◽  
Renormalization Group Flow ◽  
Coupling Phase ◽  
Duality Symmetry ◽  
Current Interaction ◽  
Principal Chiral Model ◽  
Group Flow

We study the system of two WZNW models coupled to each other via the current–current interaction. The system is proven to possess the strong/weak coupling duality symmetry. The strong coupling phase of this theory is discussed in detail. It is shown that in this phase the interacting WZNW models approach nontrivial conformal points along the renormalization group flow. The relation between the principal chiral model and interacting WZNW models is investigated.

scholarly journals RENORMALIZATION GROUP AND TRIVIALITY IN NONCOMPACT LATTICE QED WITH LIGHT FERMIONS

1992 ◽  
Vol 07 (38) ◽  
pp. 3561-3568 ◽  
Author(s):  
V. AZCOITI ◽  
G. Di CARLO ◽  
A.F. GRILLO
Keyword(s):  
Renormalization Group ◽  
Strong Coupling ◽  
Weak Coupling ◽  
Functional Dependence ◽  
Average Energy ◽  
Numerical Results ◽  
Coupling Constant ◽  
Coupling Phase ◽  
Show Evidence

In the framework of noncompact lattice QED with light fermions, we derive the functional dependence of the average energy per plaquette on the bare parameters using blockspin Renormalization Group arguments and assuming that the renormalized coupling vanishes. Our numerical results for this quantity in 84 and 104 lattices show evidence for triviality in the weak coupling phase and point to a nonvanishing value for the renormalized coupling constant in the strong coupling phase.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow

scholarly journals RG flows of integrable σ-models and the twist function

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
François Delduc ◽  
Sylvain Lacroix ◽  
Konstantinos Sfetsos ◽  
Konstantinos Siampos
Keyword(s):  
Renormalization Group ◽  
Large Class ◽  
Rational Function ◽  
Integrable Model ◽  
Renormalization Group Flow ◽  
Flow Equations ◽  
Non Linear ◽  
Group Flow

Abstract In the study of integrable non-linear σ-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central rôle. For a large class of such models, we show that they are one-loop renormalizable, and that the renormalization group flow equations can be written directly in terms of the twist function in a remarkably simple way. The resulting equation appears to have a universal character when the integrable model is characterized by a twist function.

THE RELATION BETWEEN CHIRAL SYMMETRY SPONTANEOUSLY BREAKING AND CONFINEMENT IN QED

2001 ◽  
Vol 16 (12) ◽  
pp. 2253-2266
Author(s):  
KOU SU-PENG
Keyword(s):  
Strong Coupling ◽  
Chiral Symmetry ◽  
Dimensional Reduction ◽  
Weak Coupling ◽  
Coupling Phase ◽  
Fermion Pairs ◽  
Two Phases

In this paper, we use Parisi and Sourlas dimensional reduction to show that QED has two phases, the strong coupling phase and weak coupling phase. Because chiral symmetry is spontaneously broken, particles with fractional charges are confined in the strong coupling phase by the condensation of topological configurations, and particles with integer charges are screened by fermion pairs.

scholarly journals Optimization of renormalization group flow

2000 ◽  
Vol 567 (3) ◽  
pp. 493-514 ◽  
Author(s):  
Sen-Ben Liao ◽  
Janos Polonyi ◽  
Michael Strickland
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow
Sign in / Sign up

Export Citation Format

Share Document