Chiral fermions on the lattice and index relations

Details Chiral fermions on the lattice and index relations Chiral fermions on the lattice and index relations

2000-07-18

arxiv.org/abs/hep-lat/0007023v3

Int.J.Mod.Phys. A16 (2001) 3117-3150

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages; a more detaild introduction and a subsection with remarks on literature added

Scientific paper

10.1142/S0217751X01004098

Comparing recent lattice results on chiral fermions and old continuum results for the index puzzling questions arise. To clarify this issue we start with a critical reconsideration of the results on finite lattices. We then work out various aspects of the continuum limit. After determining bounds and norm convergences we obtain the limit of the anomaly term. Collecting our results the index relation of the quantized theory gets established. We then compare in detail with the Atiyah-Singer theorem. Finally we analyze conventional continuum approaches.

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