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Statistical properties of the spectrum of the QCD Dirac operator at low energy

2001
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Nuclear Physics B
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We analyze the statistical properties of the spectrum of the QCD Dirac operator at low energy in a finite box of volume $L^4$ by means of partially quenched Chiral Perturbation Theory (pqChPT), a low-energy effective field theory based on the symmetries of QCD. We derive the two-point spectral correlation function from the discontinuity of the chiral susceptibility. For eigenvalues much smaller than $E_c=F^2/\Sigma L^2$, where $F$ is the pion decay constant and $\Sigma$ is the absolute value of

doi:10.1016/s0550-3213(01)00093-1
fatcat:mb6woufbejdgli4tdqm4dnxste