Jarzynski's theorem for lattice gauge theory

Jarzynski's theorem is a well-known equality in statistical mechanics, which relates fluctuations in the work performed during a non-equilibrium transformation of a system, to the free-energy difference between two equilibrium ensembles. In this article, we apply Jarzynski's theorem in lat...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: Caselle, Michele, Costagliola, Gianluca, Nada, Alessandro, Panero, Marco, Toniato, Arianna
Format: Article
Language:English
Subjects:
Computer simulation
Equations of state
Gauge theory
Statistical mechanics
Theorems
Variation
Online Access:Get full text
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Summary:Jarzynski's theorem is a well-known equality in statistical mechanics, which relates fluctuations in the work performed during a non-equilibrium transformation of a system, to the free-energy difference between two equilibrium ensembles. In this article, we apply Jarzynski's theorem in lattice gauge theory, for two examples of challenging computational problems, namely the calculation of interface free energies and the determination of the equation of state. We conclude with a discussion of further applications of interest in QCD and in other strongly coupled gauge theories, in particular for the Schroedinger functional and for simulations at finite density using reweighting techniques.
ISSN:2331-8422
DOI:10.48550/arxiv.1604.05544