A Way of Separating Dynamics and Gauge Transformations in Yang-Mills Theory

TL;DR

This paper proposes a modified approach to Yang-Mills theory that separates dynamics from gauge transformations, introducing additional variables to clarify physical degrees of freedom in the Hamiltonian framework.

Contribution

It introduces a new modification of gauge theory that explicitly separates dynamics and gauge transformations, ensuring classical behavior of symmetry parameters in quantum theory.

Findings

Additional dynamic variables are introduced.

Transverse physical degrees of freedom are separated.

Classical character of symmetry parameters is maintained in quantum theory.

Abstract

A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally imposed on the latter that ensures the classical character of their dynamics in quantum theory. As a result, additional dynamic variables and transverse physical degrees of freedom in the Hamiltonian are separated. The classical theory of the Yang-Mills field is considered.