Adaptive Optimization of Wave Functions for Lattice Field Models
High Energy Physics - Lattice
2007-05-23 v1
Abstract
The accuracy of Green Function Monte Carlo (GFMC) simulations can be greatly improved by a clever choice of the approximate ground state wave function that controls configuration sampling. This trial wave function typically depends on many free parameters whose fixing is a non trivial task. Here, we discuss a general purpose adaptive algorithm for their non-linear optimization. As a non trivial application we test the method on the two dimensional Wess-Zumino model, a relativistically invariant supersymmetric field theory with interacting bosonic and fermionic degrees of freedom.
Cite
@article{arxiv.hep-lat/0109005,
title = {Adaptive Optimization of Wave Functions for Lattice Field Models},
author = {Matteo Beccaria and Massimo Campostrini and Alessandra Feo},
journal= {arXiv preprint arXiv:hep-lat/0109005},
year = {2007}
}
Comments
12 pages, 5 EPS figures, Contribution to the Proceedings of the "Quantum Monte Carlo" meeting (Trento, Italy, July 3-6, 2001)