Banks-Casher-type relations for complex Dirac Spectra

Takuya Kanazawa, Tilo Wettig, Naoki Yamamoto

Research output: Contribution to journalArticle

Abstract

For theories with a sign problem there is no analog of the Banks-Casher relation. This is true in particular for QCD at nonzero quark chemical potential. However, for QCD-like theories without a sign problem the Banks-Casher relation can be extended to the case of complex Dirac eigenvalues. We derive such extensions for the zero-temperature, high-density limits of two-color QCD, QCD at nonzero isospin chemical potential, and adjoint QCD. In all three cases the density of the complex Dirac eigenvalues at the origin is proportional to the BCS gap squared. 31st International.

Original languageEnglish
Article number193
JournalUnknown Journal
Volume29-July-2013
Publication statusPublished - 2013
Externally publishedYes

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Chemical Potential
Paul Adrien Maurice Dirac
bank
Color
Eigenvalue
Temperature
Quarks
Directly proportional
Analogue
Zero
Banks
Eigenvalues

ASJC Scopus subject areas

  • General

Cite this

Kanazawa, T., Wettig, T., & Yamamoto, N. (2013). Banks-Casher-type relations for complex Dirac Spectra. Unknown Journal, 29-July-2013, [193].

Banks-Casher-type relations for complex Dirac Spectra. / Kanazawa, Takuya; Wettig, Tilo; Yamamoto, Naoki.

In: Unknown Journal, Vol. 29-July-2013, 193, 2013.

Research output: Contribution to journalArticle

Kanazawa, T, Wettig, T & Yamamoto, N 2013, 'Banks-Casher-type relations for complex Dirac Spectra', Unknown Journal, vol. 29-July-2013, 193.
Kanazawa, Takuya ; Wettig, Tilo ; Yamamoto, Naoki. / Banks-Casher-type relations for complex Dirac Spectra. In: Unknown Journal. 2013 ; Vol. 29-July-2013.
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