The spectrum of the Dirac operator near zero virtuality for Nc = 2 and chiral random matrix theory

Jacobus Verbaarschot

doi:10.1016/0550-3213(94)90021-3

The spectrum of the Dirac operator near zero virtuality for N_c = 2 and chiral random matrix theory

Jacobus Verbaarschot

Physics and Astronomy

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Abstract

We study the spectrum of the QCD Dirac operator near zero virtuality for N_c = 2. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with real matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the generating function for Leutwyler-Smilga type spectral sum rules.

Original language	English
Pages (from-to)	559-574
Number of pages	16
Journal	Nuclear Physics, Section B
Volume	426
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90021-3
State	Published - Sep 19 1994

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abstract = "We study the spectrum of the QCD Dirac operator near zero virtuality for Nc = 2. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with real matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the generating function for Leutwyler-Smilga type spectral sum rules.",

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AB - We study the spectrum of the QCD Dirac operator near zero virtuality for Nc = 2. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with real matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the generating function for Leutwyler-Smilga type spectral sum rules.

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The spectrum of the Dirac operator near zero virtuality for N_c = 2 and chiral random matrix theory

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