Confining modeling of quark propagator

TL;DR

This paper introduces a nonlocal quark model with a modified propagator that models confinement by removing pole singularities, and proposes a phase transition framework between confined and deconfined states.

Contribution

It presents a novel confining extension of the quark model using nonlocal currents and a phase transition scheme based on pole structure changes in the propagator.

Findings

In the confined phase, the quark propagator lacks pole singularities.

The deconfined phase features a single quark pole.

A two-phase model describes the confinement-deconfinement transition.

Abstract

A confining extension of the quark model with nonlocal currents is proposed. The quark propagator is modified by introducing a cut in {\alpha}-space, which in momentum space corresponds to the subtraction of pole singularities. A two-phase phase structure is proposed for modeling the confinement-deconfinement phase transition. In the confined phase, the quark propagator does not have any pole singularities, while in the deconfined phase, there is a single quark pole.