Adaptive stepsize and instabilities in complex Langevin dynamics

• Verfasst von: Aarts, Gert [VerfasserIn]
• Verfasst von: James, Frank A. [VerfasserIn]
• Verfasst von: Seiler, Erhard [VerfasserIn]
• Verfasst von: Stamatescu, Ion-Olimpiu [VerfasserIn]
• Titel: Adaptive stepsize and instabilities in complex Langevin dynamics
• Verf.angabe: Gert Aarts, Frank A. James, Erhard Seiler, Ion-Olimpiu Stamatescu
• E-Jahr: 2010
• Jahr: 6 March 2010
• Umfang: 6 S.
• Fussnoten: Gesehen am 15.11.2022
• Titel Quelle: Enthalten in: Physics letters / B
• Ort Quelle: Amsterdam : North-Holland Publ., 1967
• Jahr Quelle: 2010
• Band/Heft Quelle: 687(2010), 2-3, Seite 154-159
• ISSN Quelle: 1873-2445
• DOI: doi:10.1016/j.physletb.2010.03.012
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Lattice gauge theory
• Sach-SW: Sign problem
• Sach-SW: Stochastic quantization
• K10plus-PPN: 1822499763

Abstract

Stochastic quantization offers the opportunity to simulate field theories with a complex action. In some theories unstable trajectories are prevalent when a constant stepsize is employed. We construct algorithms for generating an adaptive stepsize in complex Langevin simulations and find that unstable trajectories are completely eliminated. To illustrate the generality of the approach, we apply it to the three-dimensional XY model at nonzero chemical potential and the heavy dense limit of QCD.