Eigenmodes of the Dirac Operator and Chiral Properties of QCD with Sea Quarks

Details Eigenmodes of the Dirac Operator and Chiral Properties of QCD with Sea Quarks Eigenmodes of the Dirac Operator and Chiral Properties of QCD with Sea Quarks

1998-08-24

arxiv.org/abs/hep-lat/9808029v1

Nucl.Phys.Proc.Suppl. 73 (1999) 614-616

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(confine)

Scientific paper

10.1016/S0920-5632(99)85152-4

I describe a mechanism to understand the relation between chiral-symmetry breaking and eigenmodes of the Dirac operator in lattice QCD with Kogut-Susskind sea quarks. It can be shown that if chiral symmetry is spontaneously broken, the eigenvalues $\lambda_i$ should behave as $z(i)/V$ for large volume $V$, where $z(i)$ is the i-th zero of the Bessel function. With neither chiral nor $\lambda$ extrapolation, one can precisely calculate the chiral condensate using only a small set of eigenvalues. Therefore, it is economical and free of systematic uncertainties. I present the first QCD data to support this mechanism and encourage the lattice community to test and use it.

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