Monopole Condensation and Confinement in SU(2) QCD (1)

TL;DR

This paper derives an effective monopole action in SU(2) QCD, showing monopole condensation leads to confinement via a dual Meissner effect, with entropy dominating energy in large-volume lattice simulations.

Contribution

It introduces a method to derive an effective monopole action from vacuum configurations in SU(2) QCD and demonstrates monopole condensation as a mechanism for confinement.

Findings

Monopole loops exhibit entropy dominance over energy beyond a critical lattice spacing.

Confinement is interpreted as a dual Meissner effect caused by monopole condensation.

Effective monopole action derived from vacuum configurations supports the dual superconductor picture.

Abstract

An effective monopole action is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. Entropy dominance over energy of monopole loops is seen on the renormalized lattice with the spacing $b>b_c\simeq 5.2\times10^{-3} \Lambda_L^{-1}$ when the physical volume of the system is large enough. QCD confinement may be interpreted as the (dual) Meissner effect due to the monopole condensation.