Positivity and Dense Matter

Details Positivity and Dense Matter Positivity and Dense Matter

2003-04-16

arxiv.org/abs/hep-ph/0304156v3

Phys.Rev. D68 (2003) 034011

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.68.034011

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.

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