Applications of Jarzynski's relation in lattice gauge theories

Alessandro Nada; Arianna Toniato; Gianluca Costagliola; Marco Panero; Michele Caselle

arxiv: 1610.09017 · v1 · pith:GKWLSL4Anew · submitted 2016-10-27 · ✦ hep-lat

Applications of Jarzynski's relation in lattice gauge theories

Alessandro Nada , Michele Caselle , Gianluca Costagliola , Marco Panero , Arianna Toniato This is my paper

classification ✦ hep-lat

keywords gaugeapplicationsdimensionsjarzynskilatticerelationtheorywill

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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 Schr\"odinger functional and for the study of QCD in strong magnetic fields.

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