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

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 su...

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Bibliographic Details
Published in:arXiv.org 1995-08
Main Authors: Blatter, Marc, Burkhalter, Rudolf, Hasenfratz, Peter, Niedermayer, Ferenc
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Instantons
Topology
Two dimensional models
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9508028