Volume 119, Number 6, September 2017
|Number of page(s)||6|
|Published online||13 December 2017|
Sampling general N-body interactions with auxiliary fields
Institut für Kernphysik and Institute for Advanced Simulation, Forschungszentrum Jülich 52425 Jülich, Germany
Received: 8 September 2017
Accepted: 16 November 2017
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. As a proof of principle, we show that our method reproduces the exact solution for a two-site quantum mechanical problem.
PACS: 02.70.Ss – Quantum Monte Carlo methods / 21.45.Ff – Three-nucleon forces / 24.10.Cn – Many-body theory
© EPLA, 2017
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