Invariant manifolds of the Wilson renormalization group

1988 ◽  
Vol 74 (2) ◽  
pp. 132-136 ◽  
Author(s):  
P. M. Blekher ◽  
M. D. Missarov
Keyword(s):  
Renormalization Group ◽  
Invariant Manifolds ◽  
Wilson Renormalization Group

scholarly journals FREE ENERGY DECREASES ALONG WILSON RENORMALIZATION GROUP TRAJECTORIES

1995 ◽  
Vol 10 (21) ◽  
pp. 1543-1548 ◽  
Author(s):  
VIPUL PERIWAL
Keyword(s):  
Free Energy ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Spectral Representation ◽  
Point Function ◽  
Cutoff Function ◽  
Wilson Renormalization Group

The free energy is shown to decrease along Wilson renormalization group trajectories, in a dimension-independent fashion, for d>2. The argument assumes the monotonicity of the cutoff function, and positivity of a spectral representation of the two-point function. The argument is valid for all orders in perturbation theory.

scholarly journals HALPERN-HUANG DIRECTIONS IN EFFECTIVE SCALAR FIELD THEORY

1996 ◽  
Vol 11 (37) ◽  
pp. 2915-2919 ◽  
Author(s):  
VIPUL PERIWAL
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Renormalization Group ◽  
Scalar Field ◽  
Cutoff Function ◽  
Scalar Field Theory ◽  
Wilson Renormalization Group

Halpern and Huang recently showed that there are relevant directions in the space of interactions at the Gaussian fixed point. We show that their result can be derived from Polchinski’s form of the Wilson renormalization group. The derivation shows that the existence of these directions is independent of the cutoff function used.

scholarly journals Screening masses in SU(N) from Wilson renormalization group

1998 ◽  
Vol 417 (3-4) ◽  
pp. 337-342 ◽  
Author(s):  
Denis Comelli ◽  
Massimo Pietroni
Keyword(s):  
Renormalization Group ◽  
Wilson Renormalization Group

WILSON RENORMALIZATION GROUP FOR GAUGE THEORIES

2001 ◽  
Vol 16 (11) ◽  
pp. 1847-1859
Author(s):  
MARISA BONINI
Keyword(s):  
Renormalization Group ◽  
Local Field ◽  
Gauge Invariance ◽  
Gauge Theories ◽  
Fine Tuning ◽  
Infrared Cutoff ◽  
Physical Scale ◽  
Field Transformation ◽  
Wilson Renormalization Group

The Wilson renormalization group formulation of gauge theories is reviewed. In particular, the fine tuning procedure needed to recover the gauge invariance broken by the infrared cutoff is discussed. When the cutoff is larger than any physical scale, this procedure determines the finite non-invariant couplings of the ultraviolet action. These couplings are used to build up a local field transformation which allows to write a BRS invariant ultraviolet action.

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