Pregled bibliografske jedinice broj: 827632
Eigenvalue spectrum of massless Dirac operators on the lattice
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 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 827632 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Eigenvalue spectrum of massless Dirac operators on the lattice
Autori
Farchioni, Federico ; Hip, Ivan ; Lang, Christian B. ; Wohlgenannt Michael
Izvornik
Nuclear physics. B (0550-3213) 549
(1999), 1-2;
364-388
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lattice field theory ; Dirac operator spectrum ; Topological charge ; Schwinger model ; Random Matrix theory
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
