Abstract
On the basis of the Hartree approximation, the lowtemperature properties of ad-dimensionaln-vector Bose model are discussed in detail, for both normal and ordered phase. The change of critical behaviour which occurs for 2<d<4 when the temperature goest to zero is described in terms of the usual crossover theory. In particular, several crossover scaling functions and the corresponding effective critical exponents are calculated. The results constitute a useful guide for future renormalization group investigations of the classical quantum crossover in a Bose system.
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