Jarzynski's theorem for lattice gauge theory

Abstract

Jarzynski's theorem is a well-known equality in statistical mechanics, which relates fluctuations in the work performed during a non-equilibrium transformation of a system, to the free-energy difference between two equilibrium ensembles. In this article, we apply Jarzynski's theorem in lattice gauge theory, for two examples of challenging computational problems, namely the calculation of interface free energies and the determination of the equation of state. We conclude with a discussion of further applications of interest in QCD and in other strongly coupled gauge theories, in particular for the Schroedinger functional and for simulations at finite density using reweighting techniques.

1+29 pages, 2 pdf figures1+29 pages, 2 pdf figures; v2: 1+34 pages, 2 pdf figures: presentation of the theorem proof in section 2 improved with additional details, discussion in sections 3 and 4 expanded, misprints corrected; matches the journal version

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Cited by in corpus (23)

• Flux Tube S-matrix Bootstrap
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Out-of-equilibrium protocol for Rényi entropies via the Jarzynski equality
• Stochastic normalizing flows as non-equilibrium transformations
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation
• Jarzynski Equality for Driven Quantum Field Theories
• Quantum Fluctuation Theorems
• Excluded-volume effects for a hadron gas in Yang-Mills theory
• Fluctuating Relativistic hydrodynamics from Crooks theorem
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Strong coupling from non-equilibrium Monte Carlo simulations
• Duality transformations and the entanglement entropy of gauge theories
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Ising string beyond Nambu-Goto
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Confined-deconfined interface tension and latent heat in SU(N) gauge theory
• Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defects
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• Applications of Jarzynski's relation in lattice gauge theories