Determination of monopole condensate from monopole action in quenched SU(2) QCD

TL;DR

This paper determines the monopole condensate in quenched SU(2) QCD by comparing analytical and numerical monopole actions derived from the lattice and continuum models, providing a precise value of 243(42) MeV.

Contribution

The paper introduces an analytical method to extract the monopole condensate from the monopole action in quenched SU(2) lattice QCD, bridging continuum theory and lattice simulations.

Findings

Analytical monopole action matches numerical results with good accuracy.

Monopole condensate value determined as 243(42) MeV.

Method provides a new way to connect continuum models with lattice QCD data.

Abstract

We study the effective monopole action obtained in the Maximal Abelian projection of quenched SU(2) lattice QCD. We determine the quadratic part of the lattice action using analytical blocking from continuum dual superconductor model to the lattice model. The leading contribution to the quadratic action depends explicitly on value of the monopole condensate. We show that the analytical monopole action matches the numerically obtained action in quenched SU(2) QCD with a good accuracy. The comparison of numerical and analytical results gives us the value of the monopole condensate in quenched SU(2) QCD, 243(42) MeV.