Confining modeling of quark propagator
A confining extension of the quark model with nonlocal currents is proposed. The quark propagator is modified by introducing a cut in α-space, which in momentum space corresponds to the subtraction of pole singularities. A two-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.
Radzhabov, A.E., Shang, X.L. Confining modeling of quark propagator. Eur. Phys. J. C 85, 860 (2025).