  In this paper, we address the problem of existence and uniqueness of a global
classical solution to a multidimensional stochastic Burgers equation without
gradient-type assumptions on the force or the initial condition. The equation
is first transformed to a random PDE, and then solved via the associated
forward-backward SDE. Additionally, we obtain a new a priori gradient estimate
valid for a large class of second-order quasilinear parabolic PDEs which
becomes an important tool in our approach. Also, we study the stochastic
Burgers equation in the vanishing viscosity limit.
