Chiral Lagrangian and spectral sum rules for dense two-color QCD
arXiv:0906.3579 · doi:10.1088/1126-6708/2009/08/003
Abstract
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.
24 pages, 1 table, no figure
References in corpus (5)
- Color superconductivity in dense quark matter
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- Matrix Models and QCD with Chemical Potential
- Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
- Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter