101 citations · 615 across the 39 of their papers we have counts for
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hep-lat1997★ 10 cited
Remarks on the realization of the Atiyah-Singer index theorem in lattice gauge theory
C. R. Gattringer, I. Hip, C. B. Lang
We discuss the interplay between topologically non-trivial gauge field configurations and the spectrum of the Wilson-Dirac operator in lattice gauge theory. Our analysis is based o…
hep-lat1997★ 9 cited
Topological Charge and the Spectrum of the Fermion Matrix in Lattice-QED_2
C. R. Gattringer, I. Hip, C. B. Lang
We investigate the interplay between topological charge and the spectrum of the fermion matrix in lattice-QED_2 using analytic methods and Monte Carlo simulations with dynamical fe…
hep-lat1997★ 18 cited
Quantum Fluctuations versus Topology - a Study in U(1)_2 Lattice Gauge Theory
C. R. Gattringer, I. Hip, C. B. Lang
Using the geometric definition of the topological charge we decompose the path integral of 2-dimensional U(1) lattice gauge theory into topological sectors. In a Monte Carlo simula…