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arXiv · hep-lat/9207013

The Topological Susceptibility of the Lattice CP(n-1) Model on the Torus and the Sphere

N. Schultka·M. Müller-Preussker
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Abstract

The topological vacuum structure of the two-dimensional $~CP^{n-1}~$ model for $~n = 3,5,7~$ is studied on the lattice. In particular we investigate the small-volume limit on the torus as well as on the sphere and compare with continuum results. For $~n \ge 5~$ , where lattice artifacts should be suppressed, the topological susceptibility shows unexpectedly strong deviations from asymptotic scaling. On the other hand there is an indication for a convergence to values obtained analytically within the limit $~n \rightarrow \infty~$ .

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N. Schultka, M. Müller-Preussker. 1992-07-15. The Topological Susceptibility of the Lattice CP(n-1) Model on the Torus and the Sphere. https://doi.org/10.1016/0550-3213(92)90180-j

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