Topological susceptibility and string tension in CP(N-1) models

Details Topological susceptibility and string tension in CP(N-1) models Topological susceptibility and string tension in CP(N-1) models

1992-10-08

arxiv.org/abs/hep-lat/9210012v1

Nucl. Phys. Proc. Suppl. 30 (1993) 830

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at the Lattice '92 Conference, Amsterdam. 6 pages, sorry, no figures included, if required we can send them by

Scientific paper

10.1016/0920-5632(93)90336-5

We investigate the features of ${\rm CP}^{N-1}$ models concerning confinement and topology. In order to study the approach to the large-$N$ asymptotic regime, we determine the topological susceptibility and the string tension for a wide range of values of $N$, in particular $N=4,10,21,41$. Quantitative agreement with the large-$N$ predictions is found for the ${\rm CP}^{20}$ and the ${\rm CP}^{40}$ models. Problems related to the measure of the topological susceptibility and the string tension on the lattice are discussed.

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