A new non-Hermitian chiral random matrix model exhibits color-flavor locking for three flavors and the two-flavor color-superconducting phase for two flavors in the microscopic large-N limit.
Chiral Lagrangian and spectral sum rules for dense two-color QCD
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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.
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hep-th 1years
2020 1verdicts
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Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
A new non-Hermitian chiral random matrix model exhibits color-flavor locking for three flavors and the two-flavor color-superconducting phase for two flavors in the microscopic large-N limit.