Sampling General N-Body Interactions with Auxiliary Fields
Nuclear Theory
2018-01-17 v2 Strongly Correlated Electrons
High Energy Physics - Lattice
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.
Cite
@article{arxiv.1706.06494,
title = {Sampling General N-Body Interactions with Auxiliary Fields},
author = {Christopher Körber and Evan Berkowitz and Thomas Luu},
journal= {arXiv preprint arXiv:1706.06494},
year = {2018}
}
Comments
5 pages, 1 figure and a supplemental Mathematica notebook