Applications of Jarzynski's relation in lattice gauge theories

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

doi:10.22323/1.256.0262

Applications of Jarzynski's relation in lattice gauge theories

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

Publikation: Bidrag til tidsskrift › Konferenceartikel › Forskning › peer review

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Abstrakt

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 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.

Originalsprog	Engelsk
Tidsskrift	Proceedings of Science
Vol/bind	Part F128557
Antal sider	7
ISSN	1824-8039
DOI	https://doi.org/10.22323/1.256.0262
Status	Udgivet - 2016
Begivenhed	34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, Storbritannien Varighed: 24. jul. 2016 → 30. jul. 2016

Konference

Konference	34th Annual International Symposium on Lattice Field Theory, LATTICE 2016
Land	Storbritannien
By	Southampton
Periode	24/07/2016 → 30/07/2016

Dokumenter og links

10.22323/1.256.0262Licens: CC BY-NC-ND

Applications of Jarzynski's relation in lattice gauge theoriesForlagets udgivne version, 216 KBLicens: CC BY-NC-ND

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Citationsformater

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title = "Applications of Jarzynski's relation in lattice gauge theories",

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 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 Schr{\"o}dinger functional and for the study of QCD in strong magnetic fields.",

author = "Alessandro Nada and Michele Caselle and Gianluca Costagliola and Marco Panero and Arianna Toniato",

year = "2016",

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volume = "Part F128557",

journal = "P o S - Proceedings of Science",

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TY - GEN

T1 - Applications of Jarzynski's relation in lattice gauge theories

AU - Nada, Alessandro

AU - Caselle, Michele

AU - Costagliola, Gianluca

AU - Panero, Marco

AU - Toniato, Arianna

PY - 2016

Y1 - 2016

N2 - 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 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.

AB - 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 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.

U2 - 10.22323/1.256.0262

DO - 10.22323/1.256.0262

M3 - Conference article

AN - SCOPUS:85025820645

VL - Part F128557

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

SN - 1824-8039

T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016

Y2 - 24 July 2016 through 30 July 2016

ER -