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

Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto

Research output: Contribution to journalArticle

28 Citations (Scopus)

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.

Original languageEnglish
Article number003
JournalJournal of High Energy Physics
Volume2009
Issue number8
DOIs
Publication statusPublished - 2009
Externally publishedYes

Fingerprint

sum rules
baryons
broken symmetry
quantum chromodynamics
fermions
color
condensates
partitions
eigenvalues
bosons
quarks
operators
simulation
energy

Keywords

  • Chiral Lagrangians
  • Spontaneous symmetry breaking
  • Sum rules

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Chiral Lagrangian and spectral sum rules for dense two-color QCD. / Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki.

In: Journal of High Energy Physics, Vol. 2009, No. 8, 003, 2009.

Research output: Contribution to journalArticle

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AB - 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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