On invariant quantization of non-Abelian gauge fields

TL;DR

This paper introduces a gauge-invariant strong coupling expansion for non-Abelian gauge fields that avoids Gribov ambiguities by restricting calculations to the modulus square of the S-matrix, ensuring consistency and invariance.

Contribution

It presents a novel formalism for invariant quantization of non-Abelian gauge fields that is free from Gribov ambiguities and maintains gauge invariance at each perturbation order.

Findings

Formalism is Gribov ambiguity free

Perturbation theory is transparently gauge invariant

Calculations are restricted to the modulus square of S-matrix elements

Abstract

A strong coupling expansion around the non-trivial extremum of the Yang-Mills action will be described. It is shown that the developed formalism is the Gribov ambiguity free and each order of the developed perturbation theory is transparently gauge invariant. The result is a consequence of the restriction: calculations are not going beyond the module square of the $S$-matrix elements.