scholarly journals Existence and construction of exact functional-renormalization-group flows of a UV-interacting scalar field theory

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Jobst Ziebell
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Scalar Field Theory ◽  
Functional Renormalization Group ◽  
Renormalization Group Flows

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.

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