Density of observables from local derivatives

Fuente: arXiv
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Auteur principal: Larsen, Rasmus Normann
Format: Preprint
Publié: 2024
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author Larsen, Rasmus Normann
author_facet Larsen, Rasmus Normann
contents We derive a formula to calculate the local change to the log of any density of states for smooth real observables. Using this in Monte-Carlo simulations, we are able to calculate the expectation value of the observable with a precision often better than standard sampling. The method can be applied to previously generated configurations, as long as the analysis uses the same action used to generate the configurations. We show that for observables such as Wilson line correlators, errors are reduced by up to 4 times.
format Preprint
id arxiv_https___arxiv_org_abs_2401_01211
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Density of observables from local derivatives
Larsen, Rasmus Normann
High Energy Physics - Lattice
We derive a formula to calculate the local change to the log of any density of states for smooth real observables. Using this in Monte-Carlo simulations, we are able to calculate the expectation value of the observable with a precision often better than standard sampling. The method can be applied to previously generated configurations, as long as the analysis uses the same action used to generate the configurations. We show that for observables such as Wilson line correlators, errors are reduced by up to 4 times.
title Density of observables from local derivatives
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2401.01211