Confining Effective Theories Based on Instantons and Merons

TL;DR

This paper develops an effective theory using instantons and merons that successfully reproduces confinement and key physical properties of SU(2) Yang-Mills theory, aligning with lattice QCD results.

Contribution

It introduces a novel effective theory based on instantons and merons that captures confinement and matches lattice QCD observables.

Findings

Reproduces confinement in SU(2) Yang-Mills theory

Matches lattice QCD results for string tension, action density, and topological susceptibility

Provides analytical insights into the confinement mechanism

Abstract

An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and low-lying glueball spectrum are similar to those arising in lattice QCD. The physical mechanism producing confinement is explained, and a number of analytical insights into the effective theory are presented.