Bolina O., Parreira J. R. The XY Model in a Transverse Magnetic Field (25K, LaTeX) ABSTRACT. We show that the ground state of the XY model (ferromagnetic or antiferromagnetic) in a transverse magnetic field $h$, for any spin value in any dimension, is the state with all the spins aligned parallel to the field when $h$ is bigger in magnitude than some critical value $h_c$. We also compute the spatial and time decay correlation functions for the spin-1/2 linear chain and study the behavior of these quantities as a function of the external magnetic field