Dual superconducting properties of the QCD vacuum

TL;DR

This paper investigates the dual superconducting nature of the QCD vacuum by measuring key parameters like the correlation length and penetration depth using lattice simulations, to classify the superconductor type.

Contribution

It provides preliminary lattice-based measurements of the correlation length in pure Yang-Mills theory with two colors, advancing understanding of QCD vacuum properties.

Findings

Estimated the superconductor correlation length $\xi$ in pure Yang-Mills theory.

Measured the temporal correlator of a disorder parameter for dual superconductivity.

Contributed to classifying the QCD vacuum as type I or II superconductor.

Abstract

A consistent description of the confining QCD vacuum as a dual superconductor requires a determination of fundamental parameters such as the superconductor correlation length $\xi$ and the field penetration depth $\lambda$, which determine whether the superconductor is of type I or type II. We illustrate preliminary results of a lattice determination of $\xi$ for the case of pure Yang-Mills with two colors, obtained by measuring the temporal correlator of a disorder parameter detecting dual superconductivity.