On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations (CROSBI ID 248040)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Gattringer, Christof, R. ; Hip, Ivan
engleski
On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations
We study characteristic features of the eigenvalues of the Wilson-Dirac operator in topologically non-trivial gauge field configurations by examining complete spectra of the fermion matrix. In particular we discuss the role of eigenvectors with real eigenvalues as the lattice equivalents of the continuum zero-modes. We demonstrate that those properties of the spectrum which correspond to non-trivial topology are stable under adding fluctuations to the gauge fields, The behavior of the spectrum in a fully quantized theory is discussed using QED(2) as an example.
lattice field theory ; spectrum ; topological charge
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Podaci o izdanju
536 (1/2)
1998.
363-380
objavljeno
0550-3213
1873-1562
10.1016/s0550-3213(98)00558-6