Main Image

PoS(LATTICE2016)262

Applications of Jarzynski's relation in lattice gauge theories

A. Nada, M. Caselle, G. Costagliola, M. Panero, A. Toniato

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

Abstract

Jarzynski's equality is a well-known result in statistical mechanics, relating free-energy differences between equilibrium ensembles with fluctuations in the work performed during non-equilibrium transformations from one ensemble to the other. In this work, an extension of this relation to lattice gauge theory will be presented, along with numerical results for the $\mathbb{Z}_2$ gauge model in three dimensions and for the equation of state in $\mathrm{SU}(2)$ Yang-Mills theory in four dimensions. Then, further applications will be discussed, in particular for the Schrodinger functional and for the study of QCD in strong magnetic fields.