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

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

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• Study of the phase diagram of dense two-color QCD within lattice simulation
• Universality of Phases in QCD and QCD-like Theories
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Singular values of the Dirac operator in dense QCD-like theories
• Universal Aspects of QCD-like Theories
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
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• Chiral random matrix theory for two-color QCD at high density
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• Lattice study of thermodynamic properties of dense QC${}_2$D
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
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• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• U(1) axial symmetry and Dirac spectra in QCD at high temperature
• Effects of Dense Quark Matter on Gluon Propagators in Lattice QC${}_2$D
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