TL;DR
This paper applies the exact renormalization group equations to scalar field theory in three dimensions, modifying Polchinski's formulation to identify the Wilson-Fisher fixed point through perturbative methods.
Contribution
It introduces a modified formulation of the ERG equations to locate the Wilson-Fisher fixed point using perturbation theory.
Findings
Identification of the Wilson-Fisher fixed point
Modified ERG formulation for perturbative analysis
Application to three-dimensional scalar field theory
Abstract
An application of the exact renormalization group equations to the scalar field theory in three dimensional euclidean space is discussed. We show how to modify the original formulation by J. Polchinski in order to find the Wilson-Fisher fixed point using perturbation theory.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies