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Sampling General N-Body Interactions with Auxiliary Fields

By
  • Christopher Körber

Published in Europhysics Letters

Keywords: Lattice Theory, Many-Body Forces, Nuclear Physics, Quantum Monte-Carlo Algorithms

n-body-hs

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.