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 $\mathbbZ_2$ gauge model in three dimensions and for the equation of state in $\mathrmSU(2)$ 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.
Applications of Jarzynski's relation in lattice gauge theories
NADA, ALESSANDRO;CASELLE, Michele;COSTAGLIOLA, GIANLUCA;PANERO, Marco;
2016-01-01
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 $\mathbbZ_2$ gauge model in three dimensions and for the equation of state in $\mathrmSU(2)$ 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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