Nonperturbative quantization technique for QCD

TL;DR

This paper explores a nonperturbative quantization method for QCD using Heisenberg's approach, focusing on Yang-Mills equations for quantum fields and discussing approximation techniques for solving the resulting infinite Green function equations.

Contribution

It introduces a nonperturbative quantization framework for QCD based on Yang-Mills equations and discusses methods to approximate solutions to the infinite Green function equations.

Findings

Equivalence of Yang-Mills equations to an infinite set of Green function equations.

Discussion of various approximation methods for solving the infinite equations.

Application of Heisenberg nonperturbative quantization to QCD.

Abstract

Heisenberg nonperturbative quantization technique for quantum chromodynamics is applied. In such approach the nonperturbative quantization is based on Yang - Mills equations applied for the quantum field operator $\hat A^B_\mu$. It is shown that such equation is equivalent to an infinite equations set for all Green functions. Various approximate methods for solving the infinite equations set are discussed.