The microscopic spectral density of the QCD Dirac operator

P. H. Damgaard; J. C. Osborn; D. Toublan; J. J.M. Verbaarschot

doi:10.1016/S0550-3213(99)00094-2

The microscopic spectral density of the QCD Dirac operator

P. H. Damgaard
, J. C. Osborn
, D. Toublan
, J. J.M. Verbaarschot

Physics and Astronomy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

172 Scopus citations

Abstract

We derive the microscopic spectral density of the Dirac operator in SU(N_c ≥ 3) Yang-Mills theory coupled to N_f fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold Gl(N_f+1/1). The result agrees exactly with earlier calculations based on Random Matrix Theory.

Original language	English
Pages (from-to)	305-328
Number of pages	24
Journal	Nuclear Physics, Section B
Volume	547
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(99)00094-2
State	Published - May 10 1999

Keywords

Chiral random matrix theory
Microscopic spectral density
Partially quenched chiral perturbation theory
QCD Dirac operator
Super-Riemannian manifolds
Valence quark mass dependence

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10.1016/S0550-3213(99)00094-2

Cite this

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abstract = "We derive the microscopic spectral density of the Dirac operator in SU(Nc ≥ 3) Yang-Mills theory coupled to Nf fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold Gl(Nf+1/1). The result agrees exactly with earlier calculations based on Random Matrix Theory.",

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AU - Osborn, J. C.

AU - Toublan, D.

AU - Verbaarschot, J. J.M.

PY - 1999/5/10

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N2 - We derive the microscopic spectral density of the Dirac operator in SU(Nc ≥ 3) Yang-Mills theory coupled to Nf fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold Gl(Nf+1/1). The result agrees exactly with earlier calculations based on Random Matrix Theory.

AB - We derive the microscopic spectral density of the Dirac operator in SU(Nc ≥ 3) Yang-Mills theory coupled to Nf fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold Gl(Nf+1/1). The result agrees exactly with earlier calculations based on Random Matrix Theory.

KW - Chiral random matrix theory

KW - Microscopic spectral density

KW - Partially quenched chiral perturbation theory

KW - QCD Dirac operator

KW - Super-Riemannian manifolds

KW - Valence quark mass dependence

UR - https://www.scopus.com/pages/publications/0033541892

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EP - 328

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

The microscopic spectral density of the QCD Dirac operator

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Keywords

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