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

Francisco X. Azeredo1,*, Dyana C. Duarte1,†, and Ricardo L. S. Farias1,2,‡

  • *Contact author: francisco.azeredo@acad.ufsm.br
  • †Contact author: dyana.duarte@ufsm.br
  • ‡Contact author: ricardo.farias@ufsm.br
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Phys. Rev. D 113, 056032 – Published 31 March, 2026

DOI: https://doi.org/10.1103/5tf2-93tz

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—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.

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Phys. Rev. D 113, 056032– Published 31 March, 2026
  • Received 6 February 2026
  • Accepted 12 March 2026
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