Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-01-18
Phys.Rev. D48 (1993) 3869-3883
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, the figures are missing, on request they will be send by mail or FAX
Scientific paper
10.1103/PhysRevD.48.3869
Finite size effects in Euclidean ${\rm CP}^{N-1}$ models with periodic boundary conditions are investigated by means of the $1/N$ expansion and by Monte Carlo simulations. Analytic and numerical results for magnetic susceptibility and correlation length are compared and found to agree for small volumes. For large volumes a discrepancy is found and explained as an effect of the physical bound state extension. The leading order finite size effects on the Abelian string tension are computed and compared with simulations finding agreement. Finite size dependence of topological quantities is also discussed.
Rossi Paolo
Vicari Ettore
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