Kanazawa, Takuya and Wettig, Tilo and Yamamoto, Naoki (2009) Chiral Lagrangian and spectral sum rules for dense two-color QCD. JOURNAL OF HIGH ENERGY PHYSICS (8): 003. ISSN 1029-8479,
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINITE BARYON DENSITY; LATTICE GAUGE-THEORY; 2 COLOR QCD; RANDOM-MATRIX THEORY; DIRAC OPERATOR; PARTITION-FUNCTION; SYMMETRY-BREAKING; FLAVOR LOCKING; QUARK MATTER; THERMODYNAMICS; Spontaneous Symmetry Breaking; Sum Rules; Chiral Lagrangians |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Sep 2020 13:11 |
| Last Modified: | 10 Sep 2020 13:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28647 |
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