Multiplicative renormalization of Yang-Mills theories in the background-field formalism

TL;DR

This paper investigates the renormalization structure of Yang-Mills theories with spinor fields using the background-field method, demonstrating gauge-independent renormalization of physical parameters and establishing multiplicative renormalizability.

Contribution

It extends the Faddeev-Popov action with additional fields and parameters to prove the multiplicative renormalizability of Yang-Mills theories in the background-field formalism.

Findings

Renormalization is gauge-independent.

Multiplicative renormalization is established.

Background-field method effectively analyzes Yang-Mills theories.

Abstract

In the paper, within the background-field method, the structure of renormalizations is studied as for Yang-Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev-Popov action with extra fields and parameters, one is allowed to establish the multiplicative character of the renormalizability. The renormalization of the physical parameters is shown to be gauge-independent.