Positivity and Dense Matter

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.

arXiv comment17 pages, no figure, RevTex4, minor changes, To appear in PRD, more discussions on kaon condensation added

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Cited by in corpus (16)

• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Two lectures on color superconductivity
• Continuity of vortices from the hadronic to the color-flavor locked phase in dense matter
• Magnetic vortex in color-flavor locked quark matter
• Thermal Phase Transitions and Gapless Quark Spectra in Quark Matter at High Density
• Lattice QCD at finite T and μ
• Quark description of the Nambu-Goldstone bosons in the color-flavor locked phase
• On the sign problem in dense QCD
• Collective excitations in a superfluid of color-flavor locked quark matter
• A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential
• Towards extremely dense matter on the lattice
• Mitigating the sign problem for non-relativistic fermions on the lattice
• High Density Effective Theory Confronts the Fermi Liquid
• Effective Lagrangians for QCD, Duality and Exact Results
• Weinberg power counting and the quark determinant at small chemical potential
• Positivity and Fermionic Dense Matter