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High density quark matter and the renormalization group in QCD with two and three flavors

1998/10/28 by Thomas Schäfer, Thomas Schaefer, Frank Wilczek · 3 citations
Mathematics · Physics and Astronomy · #Diquark #Fermion #High-Energy Particle Collisions Research #Instanton #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization group #Scalar (mathematics) #hep-ph #nucl-th

paper · pdf · doi:10.1016/s0370-2693(99)00162-8

published as Phys.Lett. B450 (1999) 325-331 · 13 pages, 2 figures

arxiv created 1998/10/28 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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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