A critical comparison of different definitions of topological charge on the lattice

Details A critical comparison of different definitions of topological charge on the lattice A critical comparison of different definitions of topological charge on the lattice

1997-11-13

arxiv.org/abs/hep-lat/9711026v3

Phys.Rev.D58:114506,1998

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages (LaTeX file) + 7 (postscript) figures. Revised version. Submitted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.114506

A detailed comparison is made between the field-theoretic and geometric definitions of topological charge density on the lattice. Their renormalizations with respect to continuum are analysed. The definition of the topological susceptibility, as used in chiral Ward identities, is reviewed. After performing the subtractions required by it, the different lattice methods yield results in agreement with each other. The methods based on cooling and on counting fermionic zero modes are also discussed.

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