Instantons and the fixed point topological charge in the two-dimensional O(3) σ model
- 15 January 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 53 (2), 923-932
- https://doi.org/10.1103/physrevd.53.923
Abstract
We define a fixed point topological charge for the two-dimensional O(3) lattice σ 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. © 1996 The American Physical Society.Keywords
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