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Positivity and dense matter

2003/04/30 by Deog Ki Hong, Stephen D. H. Hsu · 20 citations
Mathematics · Physics and Astronomy · #Degrees of freedom (physics and chemistry) #Euclidean geometry #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Massless particle #Mathematical analysis #Mathematics #Particle physics #Path integral formulation #Physics #Physics of Superconductivity and Magnetism #QCD matter #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sign (mathematics) #Strange matter #Theoretical physics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.68.034011

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(3) (American Physical Society) · 17 pages, no figure, RevTex4, minor changes, To appear in PRD, more discussions on kaon condensation added

arxiv created 2003/07/04 · openalex publication_date 2003/08/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We elaborate on previous results concerning the positivity of the Euclidean path integral measure for low-energy modes in dense fermionic matter. We show that the sign problem usually associated with fermions is absent if one considers only low-energy degrees of freedom. We describe a method for simulating dense QCD on the lattice and give a proof using rigorous inequalities that the color-flavor locked (CFL) phase is the true vacuum of three flavor, massless QCD. We also discuss applications to electronic systems in condensed matter, such as generalized Hubbard models.

Citations

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