Positivity and Fermionic Dense Matter

Details Positivity and Fermionic Dense Matter Positivity and Fermionic Dense Matter

2003-09-16

arxiv.org/abs/hep-lat/0309103v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice03 (nonzero), 3pages, 1 figure, Proceedings for Lattice 2003, July 2003, Tsukuba, Japan

Scientific paper

Euclidean dense matter generically suffers from the fermion sign problem. However, we argue that the sign problem is absent if one considers only low-energy degrees of freedom. Specifically, the low energy effective theory of dense QCD has positive Euclidean path integral measure, which allows one to establish rigorous inequalities showing that the color-flavor locked (CFL) phase is the true vacuum of three flavor, massless QCD. We then describe a method for simulating dense QCD on the lattice. We also discuss applications to electronic systems in condensed matter, such as generalized Hubbard models.

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