English

Positivity and Dense Matter

High Energy Physics - Phenomenology 2009-11-10 v3 High Energy Physics - Lattice High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.hep-ph/0304156,
  title  = {Positivity and Dense Matter},
  author = {Deog Ki Hong and Stephen D. H. Hsu},
  journal= {arXiv preprint arXiv:hep-ph/0304156},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T13:47:31.708Z