Renormalization of Spontaneaously Broken SU(2) Yang-Mills Theory with Flow Equations

TL;DR

This paper provides a simplified and corrected proof of the renormalizability of spontaneously broken SU(2) Yang-Mills theory using flow equations, addressing previous gaps and extending the theoretical framework.

Contribution

It offers a clearer, more complete renormalization proof for broken SU(2) gauge theory with flow equations, improving upon prior incomplete work.

Findings

Renormalizability of broken SU(2) Yang-Mills established

Simplified proof methodology introduced

Addresses and corrects previous proof gaps

Abstract

We present a renormalizability proof for spontaneously broken SU(2) gauge theory based on Flow Equations. It is a conceptually and technically simplified version of the earlier paper [KM] including some extensions. The proof of [KM] also was incomplete since an important assumption made implicitly in the proof of Lemma 2 there is not verified. So the present paper is also a corrected version of [KM].