Renormalizability of a mofified generally covariant Yang-Mills action

TL;DR

This paper proves that a modified generally covariant Yang-Mills action, dependent on spacetime's complex structure rather than its metric, is renormalizable and finite at one-loop order, making it unique among four-dimensional models.

Contribution

It demonstrates the renormalizability of a novel covariant Yang-Mills model based on complex structure, without requiring higher derivatives.

Findings

The model is proven to be renormalizable.

One-loop diagrams are finite in an appropriate gauge.

This model is unique among four-dimensional covariant theories.

Abstract

A modified generally covariant Yang-Mills action, which depends on the complex structure of spacetime and not its metric, is proved to be renormalizable. This proof makes this Lagrangian model the unique known generally covariant four dimensional model to be renormalizable without higher order derivatives. The first order one-loop diagrams are computed in an appropriate gauge condition and they are found to be finite.