Numerical evidence for monopoles in 3-dimensional Yang-Mills theory

TL;DR

This paper develops criteria to identify monopole configurations in 3D Yang-Mills theory and provides numerical evidence for their existence using lattice simulations, advancing understanding of topological structures in gauge theories.

Contribution

It introduces new criteria for locating monopoles in lattice gauge theory and demonstrates their presence through numerical simulations.

Findings

Monopoles are detectable in 3D Yang-Mills lattice simulations.

The proposed criteria successfully identify topologically non-trivial configurations.

Numerical evidence supports the theoretical existence of monopoles in this setting.

Abstract

Recently Anishetty, Majumdar and Sharatchandra have proposed a way of characterizing topologically non-trivial configurations for 2+1 dimensional Yang-Mills theory in a local and manifestly gauge invariant manner. In this paper paper we develop criteria to locate such objects in lattice gauge theory and find them in numerical simulations.