Kanazawa, Takuya and Wettig, Tilo (2014) Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory. JOURNAL OF HIGH ENERGY PHYSICS (10): 055. pp. 1-33. ISSN 1029-8479,
Full text not available from this repository. (Request a copy)Abstract
We generalize QCD at asymptotically large isospin chemical potential to an arbitrary even number of flavors. We also allow for small quark chemical potentials, which stress the coincident Fermi surfaces of the paired quarks and lead to a sign problem in Monte Carlo simulations. We derive the corresponding low-energy effective theory in both p- and epsilon-expansion and quantify the severity of the sign problem. We construct the random matrix theory describing our physical situation and show that it can be mapped to a known random matrix theory at low baryon density so that new insights can be gained without additional calculations. In particular, we explain the Silver Blaze phenomenon at high isospin density. We also introduce stressed singular values of the Dirac operator and relate them to the pionic condensate. Finally we comment on extensions of our work to two-color QCD.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIRAC OPERATOR; COLOR SUPERCONDUCTIVITY; PARTITION-FUNCTIONS; CHIRAL-SYMMETRY; CRITICAL FIELD; MATTER; MODEL; SPECTRUM; LATTICE; THERMODYNAMICS; Chiral Lagrangians; Phase Diagram of QCD; Matrix Models; Spontaneous Symmetry Breaking |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Aug 2019 08:04 |
| Last Modified: | 12 Aug 2019 08:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/9358 |
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