On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations

Details On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations

1997-12-12

arxiv.org/abs/hep-lat/9712015v3

Nucl.Phys. B536 (1998) 363-380

Physics

High Energy Physics

High Energy Physics - Lattice

Revised version, to appear in Nuclear Physics B; introductory part rewritten and shortened, references updated

Scientific paper

10.1016/S0550-3213(98)00558-6

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.

Affiliated with

Also associated with

No associations

Rating

On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614450