Abstract
A path-integral representation for the d-dimensional q-state quantum Potts model has been obtained starting from the microscopic Hamiltonian. The terms in the functional Hamiltonian, which are relevant in the renormalization-group sense, are given explicitly up to a quartic term in the order-parameter field. The critical properties of the model at zero temperature near five dimensions are analyzed within the field-theoretic renormalization-group approach with the help of the minimal subtraction method. In particular, some critical exponents to first order in \ensuremath{\epsilon}=5d are presented, and the occurrence of a d\ensuremath{\rightarrow}d+1 dimensional crossover is pointed out.
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