Renormalization group flow of the stiffness matrix - free-energy relation

1997 ◽  
Vol 9 (33) ◽  
pp. 7003-7015 ◽  
Author(s):  
C J Boulter ◽  
A O Parry
Keyword(s):  
Free Energy ◽  
Renormalization Group ◽  
Stiffness Matrix ◽  
Energy Relation ◽  
Renormalization Group Flow ◽  
Free Energy Relation ◽  
Group Flow ◽  
Matrix Free

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

scholarly journals RENORMALIZATION GROUP FLOW EQUATIONS FOR THE SCALAR O(N) THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 2119-2124 ◽  
Author(s):  
B.-J. SCHAEFER ◽  
O. BOHR ◽  
J. WAMBACH
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Three Dimensions ◽  
Leading Order ◽  
Renormalization Group Flow ◽  
Derivative Expansion ◽  
Scalar Theory ◽  
Flow Equations ◽  
Self Consistent ◽  
Group Flow

Self-consistent new renormalization group flow equations for an O(N)-symmetric scalar theory are approximated in next-to-leading order of the derivative expansion. The Wilson-Fisher fixed point in three dimensions is analyzed in detail and various critical exponents are calculated.

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