Sampling General N-Body Interactions with Auxiliary Fields
arXiv:1706.06494 · doi:10.1209/0295-5075/119/60006
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.
5 pages, 1 figure and a supplemental Mathematica notebook
References in corpus (11)
- Modern Theory of Nuclear Forces
- Quantum Monte Carlo methods for nuclear physics
- Efimov Physics: a review
- Lattice simulations for few- and many-body systems
- Three-body interactions with cold polar molecules
- Efimov Physics in Cold Atoms
- Toward ab initio density functional theory for nuclei
- Lattice effective field theory calculations for A = 3,4,6,12 nuclei
- Inequalities for Light Nuclei in the Wigner Symmetry Limit
- Quantum Monte Carlo Calculations for Carbon Nanotubes
- Polar Molecules with Three-Body Interactions on the Honeycomb Lattice