  We present a general auxiliary field transformation which generates effective
interactions containing all possible N-body contact terms. The strength of the
induced terms can analytically be described in terms of general coefficients
associated with the transformation and thus are controllable. This
transformation provides a novel way for sampling 3- and 4-body (and higher)
contact interactions non-perturbatively in lattice quantum monte-carlo
simulations. We show that our method reproduces the exact solution for a
two-site quantum mechanical problem.
