Fine-tuning and the Wilson renormalization group

TL;DR

This paper applies the Wilson renormalization group to address the fine-tuning problem in gauge symmetry-breaking renormalization schemes, demonstrating a systematic computation method in SU(2) Yang-Mills theory.

Contribution

It introduces a Wilson RG-based approach to handle fine-tuning in gauge symmetry-breaking renormalization, with explicit one-loop calculations in SU(2) Yang-Mills theory.

Findings

Successfully computed non-invariant couplings at one-loop order

Demonstrated the effectiveness of Wilson RG in fine-tuning procedures

Provided a systematic framework for gauge symmetry-breaking renormalization

Abstract

We use the Wilson renormalization group (RG) formulation to solve the fine-tuning procedure needed in renormalization schemes breaking the gauge symmetry. To illustrate this method we systematically compute the non-invariant couplings of the ultraviolet action of the SU(2) pure Yang-Mills theory at one-loop order.