Numerical determination of monopole entropy in pure SU(2) QCD

TL;DR

This paper numerically analyzes the length distributions and effective entropy of infrared monopole clusters in pure SU(2) QCD, revealing how monopole degrees of freedom diminish with increasing blocking scale.

Contribution

It provides the first detailed numerical study of monopole length distributions and entropy in SU(2) QCD, linking these to monopole effective actions across different scales.

Findings

Monopole length distributions are Gaussian across all studied parameters.

The monopole entropy decreases as the blocking scale increases.

Effective degrees of freedom of monopoles diminish with scale.

Abstract

We study numerically the length distributions of the infrared monopole clusters in pure SU(2) QCD. These distributions are Gaussian for all studied blocking steps of monopoles, lattice volumes and lattice coupling constant. We also investigate the monopole action for the infrared monopole clusters. The knowledge of both the length distribution and the monopole action allows us to determine the effective entropy of the monopole currents. The entropy is a descending function of blocking scale, indicating that the effective degrees of freedom of the extended monopoles are getting smaller as the blocking scale increases.