Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model
High Energy Physics - Lattice
2009-10-28 v1
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
Cite
@article{arxiv.hep-lat/9508028,
title = {Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model},
author = {Marc Blatter and Rudolf Burkhalter and Peter Hasenfratz and Ferenc Niedermayer},
journal= {arXiv preprint arXiv:hep-lat/9508028},
year = {2009}
}
Comments
20 pages (3 figures), uuencoded compressed latex file