Fermionic topological charge of families of lattice gauge fields

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4p., Lattice2002(chiral) (+ one paragraph not included in the proceedings version for length reasons)

Scientific paper

10.1016/S0920-5632(03)80464-4

Topological charge of families of lattice gauge fields is defined
fermionically via families index theory for the overlap Dirac operator. Certain
obstructions to gauge invariance of the overlap chiral fermion determinant, as
well as the lattice analogues of certain obstructions to gauge fixings without
the Gribov problem, have natural descriptions in this context.

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