scholarly journals Renormalization group flow in one- and two-matrix models

1995 ◽  
Vol 434 (1-2) ◽  
pp. 283-318 ◽  
Author(s):  
Saburo Higuchi ◽  
Chigak Itoi ◽  
Shinsuke Nishigaki ◽  
Norisuke Sakai
Keyword(s):  
Renormalization Group ◽  
Matrix Models ◽  
Renormalization Group Flow ◽  
Group Flow

RENORMALIZATION GROUP AND VIRASORO CONSTRAINTS IN LIOUVILLE FIELD THEORIES

1991 ◽  
Vol 06 (25) ◽  
pp. 2289-2300 ◽  
Author(s):  
TAKAHIRO KUBOTA ◽  
YI-XIN CHENG
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Matrix Models ◽  
Liouville Theory ◽  
Target Space ◽  
Field Theories ◽  
Renormalization Group Flow ◽  
Virasoro Constraints ◽  
Group Flow ◽  
Matter Fields

The idea of Wilson's renormalization group is applied to the 2-dimensional Liouville theory coupled to matter fields. The Virasoro structures including those of Liouville field are explicitly derived at the fixed point of the renormalization group flow. The Virasoro operators are transformed into another set of Virasoro operators acting in the target space and it is argued that the latter could be interpreted as those discovered recently in matrix models.

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.

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

scholarly journals Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance

1994 ◽  
Vol 421 (2) ◽  
pp. 429-455 ◽  
Author(s):  
M. Bonini ◽  
M. D'Attanasio ◽  
G. Marchesini
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Group Flow
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