English

Chiral Lagrangian and spectral sum rules for two-color QCD at high density

High Energy Physics - Lattice 2010-11-05 v1

Abstract

We report on our analytical study of two-color QCD with an even number of flavors at high baryon density. Based on the pattern of chiral symmetry breaking induced by BCS-type diquark pairing we construct the low-energy effective Lagrangian for the Nambu-Goldstone bosons. We also identify a new epsilon-regime at high baryon density and 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.

Keywords

Cite

@article{arxiv.0910.2300,
  title  = {Chiral Lagrangian and spectral sum rules for two-color QCD at high density},
  author = {Takuya Kanazawa and Tilo Wettig and Naoki Yamamoto},
  journal= {arXiv preprint arXiv:0910.2300},
  year   = {2010}
}

Comments

8 pages, no figure, contribution at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking University, Beijing, China