Many zero temperature transitions, involving the deviation in the value of a U(1) conserved charge from a quantized value, are described by the dilute Bose gas quantum critical point. On such transitions, we study the consequences of perturbations which break the symmetry down to ZN in d spatial dimensions. For the case d0ex0ex=0ex0ex1, N0ex0ex=0ex0ex2, we obtain exact, finite temperature, multicritical crossover functions by a mapping to an integrable lattice model.
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Damle et al. (1996) studied this question.
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