REVIEW 1 cited by
On the spectrum of the Wilson-Dirac lattice operator in topologically non-trivial background configurations
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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.
Forward citations
Cited by 1 Pith paper
-
Eigenspectra of Minimally Doubled Fermions
Numerical spectral flow and modified chirality operators show that Karsten-Wilczek and Borici-Creutz minimally doubled fermions satisfy the index theorem on an 8^4 SU(3) lattice with Q_top = -2.
Discussion (0). Continue with ORCID to comment.