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Cutoff-independent regularization of four-fermion interactions for color superconductivity

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arxiv hep-ph/0510145 v2 pith:YWJDKV52 submitted 2005-10-11 hep-ph

classification hep-ph
keywords regularizationcutoff-independentcutoffdensitiesfour-fermionhighinteractionslambda
verification ladder T0 review T1 audit T2 compute T3 formal
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We implement a cutoff-independent regularization of four-fermion interactions to calculate the color-superconducting gap parameter in quark matter. The traditional cutoff regularization has difficulties for chemical potentials \mu of the order of the cutoff \Lambda, predicting in particular a vanishing gap at \mu \sim \Lambda. The proposed cutoff-independent regularization predicts a finite gap at high densities and indicates a smooth matching with the weak coupling QCD prediction for the gap at asymptotically high densities.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalizing the Quark-Meson-Diquark Model

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Renormalized and two RG-consistent versions of the Quark-Meson-Diquark model reproduce the BCS relation and Stefan-Boltzmann limit at high density, while the sigma-delta scheme violates the BCS relation.

  2. Interplay between inhomogeneous chiral and crystalline color-superconducting phases in the two-flavor NJL model

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    In the two-flavor NJL model the wave vectors of the inhomogeneous chiral condensate and the single-plane-wave LOFF diquark condensate are never simultaneously nonzero, so the phases do not coexist.

  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 3.5 of 10

    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.

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