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Thermodynamics of quark matter with a chiral imbalance

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arxiv 1604.04518 v2 pith:CUQWUQNR submitted 2016-04-15 hep-ph

Thermodynamics of quark matter with a chiral imbalance

classification hep-ph
keywords chiralimbalancemattermomentumquarkresultsdivergentintegrals
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show how a scheme of rewriting a divergent momentum integral can conciliate results obtained with the Nambu--Jona-Lasinio model and recent lattice results for the chiral transition in the presence of a chiral imbalance in quark matter. Purely vacuum contributions are separated from medium-dependent regularized momentum integrals in such a way that one is left with ultraviolet divergent momentum integrals that depend on vacuum quantities only. The scheme is applicable to other commonly used effective models to study quark matter with a chiral imbalance, it allows us to identify the source of their difficulties in reproducing the qualitative features of lattice results, and enhances their predictability and uses in other applications.

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Cited by 3 Pith papers

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  1. Speed of sound peak in two-color dense QCD: confronting effective models with lattice data

    hep-ph 2025-10 conditional novelty 6.0

    A medium-separated NJL model reproduces the lattice-observed peak in the speed of sound for two-color dense QCD, where conventional cutoff regularization fails.

  2. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 conditional novelty 3.5

    MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.

  3. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 unverdicted novelty 2.0

    Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.