Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics

TL;DR

This study investigates how strong entanglement between chiral and Polyakov loop dynamics in a PNJL model affects vector meson spectral functions and dilepton production rates, revealing modifications due to temperature-dependent couplings.

Contribution

It introduces a model with entanglement-dependent couplings affecting vector meson properties and dilepton rates, extending previous PNJL studies with dynamic coupling effects.

Findings

Entanglement enhances color degrees of freedom.

Vector meson spectral function is modified by entanglement.

Dilepton production rate in low invariant mass is affected.

Abstract

In this work we have re-explored our earlier study on the vector meson spectral function and its spectral property in the form of dilepton rate in a two-flavour Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model in presence of a strong entanglement between the chiral and Polyakov loop dynamics. The entanglement considered here is generated through the four-quark scalar type interaction in which the coupling strength depends on the Polyakov loop and runs with temperature and chemical potential. The entanglement effect is also considered for the four-quark vector type interaction in the same manner. We observe that the entanglement effect relatively enhances the color degrees of freedom due to the running of the both scalar and vector couplings. This modifies the vector meson spectral function and thus the spectral property such as the dilepton production rate in low invariant mass also gets modified.