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

Preprint

29 August 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9508028

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.

Keywords

POINT TOPOLOGICAL CHARGE
FIXED POINT TOPOLOGICAL
TOPOLOGICAL CHARGE
SIGMA MODEL
INSTANTONS

All Related Versions

Version 1, 1995-08-29, ArXiv
Published version: Physical Review D, 53 (2), 923.

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