scholarly journals Renormalization of the periodic scalar field theory by Polchinski's renormalization group method

2002 ◽  
Vol 28 (4) ◽  
pp. 607-616 ◽  
Author(s):  
I Nándori ◽  
K Sailer ◽  
U D Jentschura ◽  
G Soff
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Group Method ◽  
Renormalization Group Method ◽  
Scalar Field 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 Renormalization Group analysis of superradiant growth of self-interacting axion cloud

2021 ◽  
Author(s):  
Hidetoshi Omiya ◽  
Takuya Takahashi ◽  
Takahiro Tanaka
Keyword(s):  
Black Hole ◽  
Renormalization Group ◽  
Scalar Field ◽  
Group Analysis ◽  
Group Method ◽  
Renormalization Group Method ◽  
Renormalization Group Analysis ◽  
Rotating Black Hole ◽  
Realistic Situation ◽  
Light Scalar

Abstract There are strong interests in considering the ultra-light scalar field (especially axion) around a rapidly rotating black hole because of the possibility of observing a gravitational waves from axion condensate (axion cloud) around black hole. Motivated by this consideration, we study dynamics of ultra-light scalar field with self-interaction around a rapidly rotating black hole by the Renormalization group method. We found that for the relativistic cloud, saturation of the superradiant instability by the scattering of the axion due to the self-interaction does not occur in the weakly non-linear regime. This means that for the relativistic axion cloud, explosive phenomena called the Bosenova might happen in the realistic situation.

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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