Yang-Mills theory in terms of gauge invariant dual variables

TL;DR

This paper reformulates quantum Yang-Mills theory using gauge-invariant variables related to dual space metrics, revealing hidden symmetries and suggesting a new mass generation mechanism.

Contribution

It introduces a novel gauge-invariant variable framework for Yang-Mills theory, uncovering hidden symmetries and potential infrared space geometries.

Findings

Dual space tends to de Sitter space in IR for SU(2)

Reformulation reveals hidden high local symmetry

Suggests a new gauge-invariant mass generation mechanism

Abstract

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of the Yang-Mills theory, which mixes up fields with spins up to J=N for the SU(N) gauge group. In the simplest case of the SU(2) group the dual space seems to tend to the de Sitter space in the infrared region. This observation suggests a new mechanism of gauge-invariant mass generation in the Yang-Mills theory.