On the continuum limit of fermionic topological charge in lattice gauge theory

Details On the continuum limit of fermionic topological charge in lattice gauge theory On the continuum limit of fermionic topological charge in lattice gauge theory

2000-09-20

arxiv.org/abs/hep-lat/0009026v2

J.Math.Phys. 42 (2001) 5522-5533

Physics

High Energy Physics

High Energy Physics - Lattice

latex, 18 pages. v2: Several comments added. To appear in J.Math.Phys

Scientific paper

It is proved that the fermionic topological charge of SU(N) lattice gauge
fields on the 4-torus, given in terms of a spectral flow of the Hermitian
Wilson--Dirac operator, or equivalently, as the index of the Overlap Dirac
operator, reduces to the continuum topological charge in the classical
continuum limit when the parameter $m_0$ is in the physical region $0

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