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High Density Quark Matter and the Renormalization Group in QCD with two and three flavors

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arxiv hep-ph/9810509 v1 pith:HYELYXGA submitted 1998-10-28 hep-ph nucl-th

classification hep-phnucl-th
keywords asymptoticallyequationsflavorsinteractionsoperatorsrenormalizationthreearguments
verification ladder T0 review T1 audit T2 compute T3 formal

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We consider the most general four fermion operators in QCD for two and three massless flavors and study their renormalization in the vicinity of the Fermi surface. We show that, asymptotically, the largest coupling corresponds to scalar diquark condensation. Asymptotically the direct and iterated (molecular) instanton interactions become equal. We provide simple arguments for the form of the operators that diagonalize the evolution equations. Some solutions of the flow equations exhibit instabilities arising out of purely repulsive interactions.

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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. Renormalization-group approach to the Kohn-Luttinger superconductivity: Amplification of the pairing gap from $\ell^4$ to $\ell$

    cond-mat.supr-con 2025-02 conditional novelty 7.0 of 10

    The renormalization group with the zero-sound diagram predicts the Kohn-Luttinger pairing gap exponent scales as -ℓ instead of the standard -ℓ^4.

  2. Renormalization group analysis of color superconductivity revisited

    hep-ph 2025-08 conditional novelty 6.0 of 10

    An RG treatment with self-energy corrections reproduces the known O(g^0) color-superconducting gap and claims to fix its overall coefficient, implying a factor-two reduction.

  3. Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations

    hep-ph 2025-08 conditional novelty 6.0 of 10

    In dense QCD, the most attractive quark pairing channel is classified by helicity amplitudes and renormalization group equations, with a new p-wave (1P1) channel favored for symmetric flavor and attraction found in th...

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