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arXiv · 1706.06494

Sampling General N-Body Interactions with Auxiliary Fields

Christopher Körber·Evan Berkowitz·Thomas Luu
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Abstract

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.

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Christopher Körber, Evan Berkowitz, Thomas Luu. 2017-06-20. Sampling General N-Body Interactions with Auxiliary Fields. https://doi.org/10.1209/0295-5075%2F119%2F60006

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