Chiral Lagrangian and spectral sum rules for dense two-color QCD

Details Chiral Lagrangian and spectral sum rules for dense two-color QCD Chiral Lagrangian and spectral sum rules for dense two-color QCD

2009-06-19

arxiv.org/abs/0906.3579v2

JHEP 0908:003,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 1 table, no figure

Scientific paper

10.1088/1126-6708/2009/08/003

We analytically study two-color QCD with an even number of flavors at high baryon density. This theory is free from the fermion sign problem. Chiral symmetry is broken spontaneously by the diquark condensate. Based on the symmetry breaking pattern we construct the low-energy effective Lagrangian for the Nambu-Goldstone bosons. We identify a new epsilon-regime at high baryon density in which the quark mass dependence of the partition function can be determined exactly. We also derive Leutwyler-Smilga-type spectral sum rules for the complex eigenvalues of the Dirac operator in terms of the fermion gap. Our results can in principle be tested in lattice QCD simulations.

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