Mid-Point Technique for Calculating Divergent integrals

TL;DR

This paper introduces a mid-point technique to accurately compute divergent integrals, improving calculations of the NJL model's properties like quark mass and energy density while avoiding previous difficulties.

Contribution

The paper presents a novel mid-point method that enhances the calculation of divergent integrals in the NJL model, offering better accuracy and physical consistency.

Findings

Accurate calculation of constituent quark mass

Improved evaluation of pressure and energy density

Avoidance of previous computational difficulties

Abstract

A mid-point technique is suggested to overcome the difficulties in other techniques. The modified effective interaction quark potential which uses to calculate different properties of the NJL model such as the constituent quark mass, the pressure, and the energy density is solved using the present technique. The present method gives good accuracy for the mathematical problem and avoids the physical difficulty in the previous works.