ar X iv : h ep - l at / 9 21 00 10 v 1 8 O ct 1 99

نویسنده

  • Ettore Vicari
چکیده

Two-dimensional CP models are investigated byMonte 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 ξ. Several lattice formulations are compared and shown to enjoy scaling for ξ as small as 2.5. Asymptotic scaling is investigated using as bare coupling constant both the usual β and βE (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 z̄z bound states at large N .

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تاریخ انتشار 2008