Strong coupling from non-equilibrium Monte Carlo simulations

Abstract

We compute the running coupling of non-Abelian gauge theories in the Schrödinger-functional scheme, by means of non-equilibrium Monte Carlo simulations on the lattice.

arXiv commentv1: 29 pages, 7 figures; v2: 1+46 pages, 9 figures: added a detailed discussion of the algorithm, computational efficiency analysis, comparison with perturbation theory at loops, new references, corrected typos (version published in the journal)

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• QCD Running Couplings and Effective Charges
• Stochastic normalizing flows as non-equilibrium transformations
• Entanglement entropy from non-equilibrium Monte Carlo simulations
• Lattice determinations of the strong coupling
• Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions
• Duality transformations and the entanglement entropy of gauge theories
• Numerical determination of the width and shape of the effective string using Stochastic Normalizing Flows
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Entanglement entropy and localization in disordered quantum chains
• Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defects
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Topological excitations in statistical field theory at the upper critical dimension
• 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