On the index theorem for Wilson fermions
arXiv:hep-lat/9801035 · doi:10.1016/S0550-3213(98)00533-1
Abstract
We consider a Wilson-Dirac operator with improved chiral properties. We show that, for arbitrarily rough gauge fields, it satisfies the index theorem if we identify the zero modes with the small real eigenvalues of the fermion operator and use the geometrical definition of topological charge. This is also confirmed in a numerical study of the quenched Schwinger model. These results suggest that integer definitions of the topological charge based on counting real modes of the Wilson operator are equivalent to the geometrical definition. The problem of exceptional configurations and the sign problem in simulations with an odd number of dynamical Wilson fermions are briefly discussed.
Latex, 18 pages, 6 figures
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Cited by in corpus (9)
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- On the continuum limit of fermionic topological charge in lattice gauge theory
- The chiral limit of the two-flavor lattice Schwinger model with Wilson fermions
- Multigrid for Staggered Lattice Fermions
- Numerical study of lattice index theorem usingimproved cooling and overlap fermions
- Remnant index theorem and low-lying eigenmodes for twisted mass fermions
- Proposal for Topologically Unquenched QCD
- Criterium for the index theorem on the lattice