scholarly journals Three-dimensional massive scalar field theory and the derivative expansion of the renormalization group

1997 ◽  
Vol 495 (3) ◽  
pp. 477-504 ◽  
Author(s):  
Tim R. Morris
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Three Dimensional ◽  
Massive Scalar ◽  
Derivative Expansion ◽  
Scalar Field Theory ◽  
Massive Scalar Field

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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