Quantum effects in the critical properties of the transverse Ising model for 2 < d ⩽ 3

The crossover behaviour of a d-dimensional (2<d?3) Ising model in a transverse field Г is investigated near the multicritical point $\text{Г, T] = Г}{}_{\mathrm{c}}\text{(0), 0].}$ A renormalization scheme which removes divergences in the zero-temperature limit is presented. The crossover exponent and scaling function for the longitudinal susceptibility are found.