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.
2016
Lattice 2016
Southampton, UK
24.-30.07.2016
Pos "Lattice 2016"
262-01
262-07
http://arxiv.org/abs/1610.09017v1
High Energy Physics - Lattice; High Energy Physics - Lattice
Alessandro, Nada; Michele, Caselle; Gianluca, Costagliola; Marco, Panero; Arianna, Toniato
File in questo prodotto:
File Dimensione Formato  
1610.09017_Nada_et_al_Applications_of_Jarzinski_s_relation_in_lattice_gauge_theories.pdf

Accesso aperto

Tipo di file: PDF EDITORIALE
Dimensione 215.94 kB
Formato Adobe PDF
215.94 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1630462
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact