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

Abstract

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.

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

References in corpus (3)

• Topology of the SU(2) vacuum: a lattice study using improved cooling
• A numerical test of the continuum index theorem on the lattice
• Topology at zero and finite T in SU(2) Yang-Mills theory

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