New approach to the quantization of the Yang-Mills field

TL;DR

This paper reviews a new method for quantizing the Yang-Mills field that is applicable in both perturbative and non-perturbative regimes, highlighting the existence of classical soliton solutions in the modified formulation.

Contribution

It introduces a novel quantization approach for Yang-Mills fields that retains standard perturbation results while revealing classical soliton solutions.

Findings

Perturbation theory remains unchanged in the new formulation

Existence of classical soliton solutions in the modified theory

Applicable both in perturbative and beyond perturbation regimes

Abstract

Review of the papers on the new method of the Yang-Mills field quantization applicable both in perturbation theory and beyond it is presented. It is shown that in the modified formulation of the Yang-Mills theory leading to the formal perturbation theory, which coincides with the standard one, there exist soliton solutions of the classical equations of motion.