Applications of Jarzynski’s relation in lattice gauge theories

Preprint number: CP3-Origins-2016-45 DNRF90
Authors: Michele Caselle (University of Turin&INFN), Gianluca Costagliola (University of Turin&INFN), Alessandro Nada (University of Turin&INFN), Marco Panero (University of Turin&INFN), and Arianna Toniato (CP3-Origins & DIAS)
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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 nonequilibrium
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 Z2 gauge
model in three dimensions and for the equation of state in SU(2) Yang-Mills theory in four dimensions.
Then, further applications will be discussed, in particular for the Schrödinger functional
and for the study of QCD in strong magnetic fields.