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Eigenvalue spectrum of massless Dirac operators on the lattice (CROSBI ID 230414)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Farchioni, Federico ; Hip, Ivan ; Lang, Christian B. ; Wohlgenannt Michael Eigenvalue spectrum of massless Dirac operators on the lattice // Nuclear physics. B, 549 (1999), 1-2; 364-388. doi: 10.1016/S0550-3213(99)00162-5

Podaci o odgovornosti

Farchioni, Federico ; Hip, Ivan ; Lang, Christian B. ; Wohlgenannt Michael

engleski

Eigenvalue spectrum of massless Dirac operators on the lattice

We present a detailed study of the interplay between chiral symmetry and spectral properties of the Dirac operator in lattice gauge theories. We consider, in the framework of the Schwinger model, the fixed point action and a fermion action recently proposed by Neuberger. Both actions show the remnant of chiral symmetry on the lattice as formulated in the Ginsparg-Wilson relation. We check this issue for practical implementations, also evaluating the fermion condensate in a finite volume by a subtraction procedure. Moreover, we investigate the distribution of the eigenvalues of a properly defined anti-hermitian lattice Dirac operator, studying the statistical properties at the low lying edge of the spectrum. The comparison with the predictions of chiral Random Matrix Theory enables us to obtain an estimate of the infinite volume fermion condensate.

Lattice field theory ; Dirac operator spectrum ; Topological charge ; Schwinger model ; Random Matrix theory

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Podaci o izdanju

549 (1-2)

1999.

364-388

objavljeno

0550-3213

10.1016/S0550-3213(99)00162-5

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Fizika

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