Local representation of N-body Coulomb energy with path integrals
Computational Physics
2014-05-19 v2 Materials Science
High Energy Physics - Lattice
Abstract
We represent N-body Coulomb energy in a localized form to achieve massive parallelism. It is a well-known fact that Green's functions can be written as path integrals of field theory. Since two-body Coulomb potential is a Green's function of Poisson equations, it reduces to a path integral of free scalar field theory with three spatial dimensions. This means that N-body one also reduces to a path integral. We discretize real space with a cubic lattice and evaluate the obtained multiple integrals approximately with the Markov-chain Monte Carlo method.
Keywords
Cite
@article{arxiv.1403.0711,
title = {Local representation of N-body Coulomb energy with path integrals},
author = {Takanori Sugihara and Junichi Higo and Haruki Nakamura},
journal= {arXiv preprint arXiv:1403.0711},
year = {2014}
}
Comments
4 pages, 3 figures. Accepted for JPSJ Letters