Abstract
We discuss the spectral density of the massless Dirac operator at small eigenvalues and quark masses compatible with the restrictions imposed by the low-energy theorems in QCD. The sum rule for its derivative with respect to the quark mass is found.
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References
T. Banks and S. Casher, Nucl. Phys. B 169, 103 (1980).
H. Leutwyler and A. Smilga, Phys. Rev. D 46, 5607 (1992).
J. Verbarshoot, hep-th/9705125.
J. Gasser and H. Leutwyler, Ann. Phys. (N. Y.) 158, 142 (1984).
V. Novikov, M. Shifman, A. Vaishtein, and V. Zakharov, Nucl. Phys. B 191, 301 (1981).
A. Smilga and J. Stern, Phys. Lett. B 318, 531 (1993).
J. Stern, hep-th/9801107.
A. Smilga, hep-th/9805214.
A. Gorsky, hep-th/9804020.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 71, No. 6, 2000, pp. 344–347.
Original English Text Copyright © 2000 by Gorsky.
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Gorsky, A. Low-energy theorems and the Dirac operator spectral density in QCD. Jetp Lett. 71, 239–241 (2000). https://doi.org/10.1134/1.568324
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DOI: https://doi.org/10.1134/1.568324