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Topological Charge in Lattice Gauge Theory.

Peter Woit

Abstract

A useful definition of the topological charge of a lattice gauge field configuration is given. This definition is used to calculate the topological susceptibility chi/sub t/ = /V in SU(2) lattice gauge theory by means of a Monte Caro simulation. chi/sub t/ = (170 +- 25 MeV)/sup 4/ is obtained, in good agreement with the current algebra prediction. Other possible uses of this operator are suggested.

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Key concepts: Lattice gauge theory, Topological quantum number, Lattice field theory, Hamiltonian lattice gauge theory, Physics, Lattice (music), Gauge theory, Charge (physics)