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Scaling and asymptotic scaling in two-dimensional $CP^{N-1}$ models | | Massimo Campostrini
; Paolo Rossi
; Ettore Vicari
; | | Date: |
8 Oct 1992 | | Journal: | Nucl. Phys. Proc. Suppl. 30 (1993) 819 | | Abstract: | Two-dimensional $CP^{N-1}$ models are investigated by Monte Carlo methods on the lattice, for values of $N$ ranging from 2 to 21. Scaling and rotation invariance are studied by comparing different definitions of correlation length $xi$. Several lattice formulations are compared and shown to enjoy scaling for $xi$ as small as $2.5$. Asymptotic scaling is investigated using as bare coupling constant both the usual $eta$ and $eta_E$ (related to the internal energy); the latter is shown to improve asymptotic scaling properties. Studies of finite size effects show their $N$-dependence to be highly non-trivial, due to the increasing radius of the $ar z z$ bound states at large $N$. | | Source: | arXiv, hep-lat/9210010 | | Services: | Forum | Review | PDF | Favorites | |
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