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

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Phys. Rev., (1996)
DOI: 10.1103/PhysRevD.53.923

Аннотация

Abstract: 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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