Chiral Lagrangian and spectral sum rules for two-color QCD at high density

Physics – High Energy Physics – High Energy Physics - Lattice

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8 pages, no figure, contribution at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Univer

Scientific paper

We report on our analytical study of two-color QCD with an even number of flavors at high baryon density. Based on the pattern of chiral symmetry breaking induced by BCS-type diquark pairing we construct the low-energy effective Lagrangian for the Nambu-Goldstone bosons. We also identify a new epsilon-regime at high baryon density and 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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