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

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

1992-07-15

arxiv.org/abs/hep-lat/9207013v1

Nucl.Phys. B386 (1992) 193-214

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, 14 figures not included, sorry, HU Berlin-IEP-92/2, Nucl. Phys. B in print

Scientific paper

10.1016/0550-3213(92)90180-J

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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