The Polyakov-Nambu-Jona-Lasinio model with six and eight quark interactions

TL;DR

This paper extends the Nambu-Jona-Lasinio model by incorporating six and eight quark interactions along with the Polyakov loop, highlighting the importance of regularization methods for accurate physical predictions.

Contribution

It introduces a covariant Pauli-Villars regularization into the extended NJL model with higher-order interactions and the Polyakov loop, improving the model's consistency.

Findings

Regularization choice significantly affects model features

Pauli-Villars regularization yields coherent physical quantities

Enhanced understanding of multi-quark interactions in QCD models

Abstract

The extension of the Nambu-Jona-Lasino Model with six and eight quark interactions to include the Polyakov loop is analysed. Several interesting features are determined to be an effect of the choice of the regularization procedure. The use of a Pauli-Villars covariant regularization enables a coherent and correct description of several quantities.