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Adaptive Optimization of Wave Functions for Lattice Field Models

2001/09/13 by Matteo Beccaria, Beccaria, Matteo, Massimo Campostrini +3 · 1 citation
Computer Science · Physics and Astronomy · #Computer Graphics and Visualization Techniques #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0109005

12 pages, 5 EPS figures, Contribution to the Proceedings of the "Quantum Monte Carlo" meeting (Trento, Italy, July 3-6, 2001)

arxiv created 2001/09/13 · openalex publication_date 2001/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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