# BRST renormalization of the first order Yang-Mill theory

## TL;DR

This paper investigates the renormalization process of the first order Yang-Mills theory using BRST identities, demonstrating its recursive renormalizability while preserving gauge invariance.

## Contribution

It provides a recursive proof of renormalizability for the first order Yang-Mills formulation utilizing BRST identities, including non-linear mixings and field re-scalings.

## Key findings

- Renormalization preserves gauge invariance via BRST identities.
- Recursive proof of renormalizability at all orders.
- Involves non-linear mixings and re-scalings of fields and sources.

## Abstract

We examine the renormalization of the first order formulation of Yang-Mills theory, by using the BRST idenities. These preserve the gauge invariance of the theory and enable a recursive proof of renormalizability to higher orders in perturbation theory. The renormalization involves non-linear mixings as well as re-scalings of the fields and sources, which lead to a renormalized action at all orders.