Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model

Details Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model

1995-08-29

arxiv.org/abs/hep-lat/9508028v1

Phys.Rev. D53 (1996) 923-932

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages (3 figures), uuencoded compressed latex file

Scientific paper

10.1103/PhysRevD.53.923

We define a fixed point topological charge for the two-dimensional O(3) lattice sigma-model which is free of topological defects. We use this operator in combination with the fixed point action to measure the topological susceptibility for a wide range of correlation lengths. The results strongly suggest that it is not a physical quantity in this model. The procedure, however, can be applied to other asymptotically free theories as well.

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