Abstract
Non-Abelian gauge fields on a four-dimensional hypercubic lattice with small action density [Tr{U(\(\dot p\))} for SU(2) gauge fields] are shown to carry an integer topological chargeQ, which is invariant under continuous deformations of the field. A concrete expression forQ is given and it is verified thatQ reduces to the familiar Chern number in the classical continuum limit.
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Communicated by R. Jost
Work supported in part by Schweizerischer Nationalfonds
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Lüscher, M. Topology of lattice gauge fields. Commun.Math. Phys. 85, 39–48 (1982). https://doi.org/10.1007/BF02029132
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DOI: https://doi.org/10.1007/BF02029132