One-loop effective multi-gluon Lagrangian in arbitrary dimensions

TL;DR

This paper derives the one-loop multi-gluon effective Lagrangian in arbitrary dimensions using the background-field formalism, providing explicit counter terms up to 12 dimensions and validating results against string-inspired methods.

Contribution

It presents a general derivation of the multi-gluon effective Lagrangian in any dimension, extending previous results and including explicit counter terms up to 12 dimensions.

Findings

Derived the effective Lagrangian in arbitrary dimensions

Computed counter terms up to 12 spacetime dimensions

Confirmed agreement with string-inspired approaches

Abstract

We exhibit the one-loop multi-gluon effective Lagrangian in any dimension for a field theory with a quasilocal background, using the background-field formalism. Specific results, including counter terms (up to 12 spacetime dimensions), have been derived, applied to the Yang-Mills theory and found to be in agreement with other string-inspired approaches.