Some non-renormalization theorems in Curci-Ferrari model

TL;DR

This paper derives specific Slavnov-Taylor identities for the Curci-Ferrari model, leading to two non-renormalization theorems that simplify the renormalization process and are verified at three-loop order.

Contribution

It introduces new non-renormalization theorems for the Curci-Ferrari model, reducing the number of independent renormalization factors and connecting to known identities in Yang-Mills theory.

Findings

Two non-renormalization theorems reduce renormalization factors from five to three.

The derived identities are verified at three-loop order.

The results include known identities in Landau gauge Yang-Mills theory.

Abstract

In the present letter, a particular form of Slavnov-Taylor identities for the Curci-Ferrari model is deduced. This model consist of Yang-Mills theory in a particular non-linear covariant gauge, supplemented with mass terms for gluons and ghosts. It can be used as a regularization for the Yang-Mills theory preserving simple Slavnov-Taylor identities. Employing these identities two non-renormalization theorems are proved that reduce the number of independent renormalization factors from five to three. These new relations are verified by comparing to the already known three-loops renormalization factors. These relations include, as a particular case, the corresponding known identities in Yang-Mills theory in Landau gauge.