Susceptibilities with multi-quark interactions in PNJL model

TL;DR

This paper explores fluctuations and susceptibilities of various quantum numbers in a 2+1 flavor PNJL model with multi-quark interactions, comparing results with lattice data and traditional models.

Contribution

It introduces a 2+1 flavor PNJL model with up to eight-quark interactions and compares its susceptibility predictions to lattice results and conventional models.

Findings

Qualitative agreement with lattice results despite heavier light quarks.

Multi-quark interactions influence susceptibility calculations.

Comparison highlights differences between extended and conventional models.

Abstract

We have investigated the fluctuations and the higher order susceptibilities of quark number, isospin number, electric charge and strangeness at vanishing chemical potential for 2+1 flavor Polyakov loop extended Nambu--Jona-Lasinio model. The calculations are performed for the bound effective potential in the quark sector requiring up to eight quark interaction terms. These have been contrasted to the lattice results which currently have somewhat heavier quarks in the light flavor sector. The results show sufficient qualitative agreement. For comparison we also present the results obtained with the conventional effective potential containing upto six quark interaction terms.