Polchinski ERG Equation in O(N) Scalar Field Theory
Yuri Kubyshin, Rui Neves, Robertus Potting
TL;DR
This paper analyzes the Polchinski ERG equation within O(N) scalar field theory, identifying fixed points and exploring the large N limit to understand non-perturbative behavior.
Contribution
It introduces a non-perturbative derivative expansion approach to find regular solutions and relates them to physical fixed points, especially in the large N limit.
Findings
Identified families of regular solutions to the ERG equation.
Established the relation between solutions and physical fixed points.
Analyzed properties of the theory in the large N limit.
Abstract
We investigate the Polchinski ERG equation for d-dimensional O(N) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish their relation with the physical fixed points of the theory. Special emphasis is given to the large N limit for which many properties can be studied analytically.
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