Monopole condensation in two-flavour Adjoint QCD

TL;DR

This paper investigates monopole condensation as an order parameter for deconfinement in two-flavour adjoint QCD, highlighting the role of monopoles in phase transitions where center symmetry remains unbroken.

Contribution

It introduces a monopole creation operator as a novel order parameter for deconfinement in adjoint QCD, where traditional indicators like the Polyakov loop are effective.

Findings

Monopole condensation correlates with the deconfinement transition.

The Polyakov loop remains a good order parameter due to unbroken center symmetry.

Monopole operators can serve as alternative indicators of phase changes.

Abstract

Two distinct phase transitions occur at different temperatures in QCD with adjoint fermions (aQCD): deconfinement and chiral symmetry restoration. In this model, quarks do no explicitely break the center Z(3) symmetry and therefore the Polyakov loop is a good order parameter for the deconfinement transition. We study monopole condensation by inspecting the expectation value of an operator which creates a monopole. Such a quantity is expected to be an order parameter for the deconfinement transition as in the case of fundamental fermions.