English

Applications of Jarzynski's relation in lattice gauge theories

High Energy Physics - Lattice 2017-03-27 v1

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 Z2\mathbb{Z}_2 gauge model in three dimensions and for the equation of state in SU(2)\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.

Keywords

Cite

@article{arxiv.1610.09017,
  title  = {Applications of Jarzynski's relation in lattice gauge theories},
  author = {Alessandro Nada and Michele Caselle and Gianluca Costagliola and Marco Panero and Arianna Toniato},
  journal= {arXiv preprint arXiv:1610.09017},
  year   = {2017}
}

Comments

7 pages, 2 figures, presented at the 34th International Symposium on Lattice Field Theory (Lattice 2016), 24-30 July 2016, Southampton, UK