One-loop counterterms in the Yang-Mills theory with gauge invariant ghost field Lagrangian

TL;DR

This paper performs one-loop renormalization calculations in a gauge invariant ghost field Yang-Mills model, demonstrating its asymptotic freedom and similar renormalization behavior to standard Yang-Mills theory.

Contribution

It introduces and analyzes a gauge invariant ghost field Lagrangian in Yang-Mills theory, showing its renormalization properties match the conventional model.

Findings

The model is asymptotically free.

Renormalization constants follow the same equations as in standard Yang-Mills.

One-loop calculations confirm the consistency of the gauge invariant ghost approach.

Abstract

One-loop calculations of renormalization constants in the model with gauge invariant ghost field Lagrangian are performed. It is shown that the model is asymptotically free and the renormalization constants satisfy the same equation as in the ordinary Yang-Mills theory.