INSTANTONS AND THE FIXED-POINT TOPOLOGICAL CHARGE IN THE 2-DIMENSIONAL O(3) SIGMA-MODEL

Authors
BLATTER M BURKHALTER R HASENFRATZ P NIEDERMAYER F
Citation
M. Blatter et al., INSTANTONS AND THE FIXED-POINT TOPOLOGICAL CHARGE IN THE 2-DIMENSIONAL O(3) SIGMA-MODEL, Physical review. D. Particles and fields, 53(2), 1996, pp. 923-932
Citations number
38
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
53
Issue
2
Year of publication
1996
Pages
923 - 932
Database
ISI
SICI code
0556-2821(1996)53:2<923:IATFTC>2.0.ZU;2-M
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 thi s operator in combination with the fixed point action to measure the t opological susceptibility for a wide range of correlation lengths. The results strongly suggest that it is not a physical quantity in this m odel. The procedure, however, can be applied to other asymptotically f ree theories as well.