scholarly journals EXACT RENORMALIZATION GROUP AND MANY-FERMION SYSTEMS

2005 ◽  
Vol 20 (02n03) ◽  
pp. 596-598 ◽  
Author(s):  
B. KRIPPA ◽  
M. C. BIRSE ◽  
J. A. MCGOVERN ◽  
N. R. WALET
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Short Range ◽  
Numerical Solutions ◽  
Scattering Length ◽  
Group Method ◽  
Renormalization Group Method ◽  
Flow Equations ◽  
Fermion Systems ◽  
Exact Renormalization Group

The exact renormalization group method is applied to many-fermion systems with short-range attractive forces. The strength of the attractive fermion-fermion interaction is determined from the vacuum scattering length. A set of approximate flow equations is derived including fermionic bosonic fluctations. The numerical solutions show a phase transition to a gapped phase. The inclusion of bosonic fluctuations is found to be significant only in the small-gap regime.

APPLICATION OF EXACT RENORMALIZATION GROUP TECHNIQUES TO THE NON-PERTURBATIVE STUDY OF SUPERSYMMETRIC FIELD THEORY

2004 ◽  
Vol 18 (04n05) ◽  
pp. 469-478 ◽  
Author(s):  
STEFANO ARNONE ◽  
KENSUKE YOSHIDA
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Renormalization Group Equation ◽  
Group Method ◽  
Group Equation ◽  
Renormalization Group Method ◽  
Exact Relation ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
Exact Renormalization Group

A simple form of the exact renormalization group method is proposed for the study of supersymmetric gauge field theory. The method relies on the existence of ultraviolet-finite four dimensional gauge theories with extended supersymmetry. The resulting exact renormalization group equation crucially depends on the Konishi anomaly of N=1 super Yang–Mills. We illustrate our method by dealing with the NSVZ exact relation for the beta functions, the N=2 super Yang–Mills effective potential and the N=1 super Yang–Mills gluon superpotential (the so-called Veneziano–Yankielowicz potential).

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