Infrared Yang-Mills theory as a spin system. A lattice approach

TL;DR

This paper proposes a lattice-based numerical approach to test the conjecture that infrared Yang-Mills theory is equivalent to a spin system with knot soliton excitations, exploring the stability and universality of the effective action.

Contribution

It introduces a novel numerical algorithm using inverse Monte Carlo methods to analyze the infrared behavior of Yang-Mills theory as a spin system.

Findings

Proposes a new lattice approach for Yang-Mills as a spin system

Suggests a method to study the renormalization group flow of coupling constants

Discusses the universality of the effective spin field action

Abstract

To verify the conjecture that Yang-Mills theory in the infrared limit is equivalent to a spin system whose excitations are knot solitons, a numerical algorithm based on the inverse Monte Carlo method is proposed. To investigate the stability of the effective spin field action, numerical studies of the renormalization group flow for the coupling constants are suggested. A universality of the effective spin field action is also discussed.