Monopole Condensation in Lattice SU(2) QCD

TL;DR

This paper reviews Monte-Carlo studies showing that monopole condensation in lattice SU(2) QCD is responsible for quark confinement, with evidence from abelian projections and block spin transformations indicating persistent monopole condensation across all couplings.

Contribution

It demonstrates that monopole condensation is the key mechanism for confinement in lattice SU(2) QCD through numerical evidence and analysis of abelian projections and dual lattice transformations.

Findings

Monopoles are responsible for confinement in lattice SU(2) QCD.

Monopole condensation persists for all coupling values.

Lattice SU(2) QCD remains in the monopole condensed phase in the infinite volume limit.

Abstract

This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A block spin transformation on the dual lattice suggests that lattice $SU(2)$ QCD is always ( for all $\beta$) in the monopole condensed phase and so in the confinement phase in the infinite volume limit.