Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter

TL;DR

This paper investigates how the Medium Separation Scheme (MSS) affects the properties of two-flavor color superconducting quark matter under magnetic fields, emphasizing proper divergence treatment to avoid unphysical artifacts.

Contribution

It demonstrates that combining MSS with Magnetic Field Independent Regularization (MFIR) suppresses unphysical oscillations and yields more accurate high-density behavior in the NJL model.

Findings

MSS combined with MFIR removes spurious oscillations.

Proper divergence treatment is crucial for accurate modeling.

Magnetization remains positive with MSS, unlike traditional methods.

Abstract

We analyze the impact of the Medium Separation Scheme (MSS) on two-flavor color superconducting (2SC) dense quark matter under the influence of a constant external magnetic field. The effects of the proper treatment of the model divergences are examined through a comparison of different approaches, including the combined implementation of the Magnetic Field Independent Regularization (MFIR) and the MSS, as well as the standard use of smooth form factors. Our findings for the Nambu--Jona-Lasinio model emphasize the critical role of properly separating medium effects from vacuum contributions in the model. The combined MFIR-MSS scheme suppresses spurious unphysical oscillations, often misinterpreted in the literature as de Haas--van Alphen oscillations, and ensures the correct high-density behavior of the diquark condensate. Furthermore, within the MSS framework, the magnetization remains positive across the explored parameter space, in sharp contrast with the behavior obtained in the traditional approach.