# Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns

Akemann G, Kanzieper E (2001)
In: Nucl.Phys.Proc.Suppl. 94. 681-684.

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The microscopic spectral eigenvalue correlations of QCD Dirac operators inthe presence of dynamical fermions are calculated within the framework ofRandom Matrix Theory (RMT). Our approach treats the low--energy correlationfunctions of all three chiral symmetry breaking patterns (labeled by the Dysonindex $\beta=1,2$ and 4) on the same footing, offering a unifying descriptionof massive QCD Dirac spectra. RMT universality is explicitly proven for allthree symmetry classes and the results are compared to the available latticedata for $\beta=4$.
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Akemann G, Kanzieper E. Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns. In: Nucl.Phys.Proc.Suppl. Vol 94. 2001: 681-684.
Akemann, G., & Kanzieper, E. (2001). Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns. Nucl.Phys.Proc.Suppl., 94, 681-684.
Akemann, G., and Kanzieper, E. (2001). “Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns” in Nucl.Phys.Proc.Suppl., vol. 94, 681-684.
Akemann, G., & Kanzieper, E., 2001. Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns. In Nucl.Phys.Proc.Suppl. no.94 pp. 681-684.
G. Akemann and E. Kanzieper, “Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns”, Nucl.Phys.Proc.Suppl., vol. 94, 2001, pp.681-684.
Akemann, G., Kanzieper, E.: Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns. Nucl.Phys.Proc.Suppl. 94, p. 681-684. (2001).
Akemann, Gernot, and Kanzieper, E. “Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns”. Nucl.Phys.Proc.Suppl. 2001.Vol. 94. 681-684.
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arXiv hep-lat/0010092