The complex langevin equation and Monte Carlo simulations of actions with static charges

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Abstract

We explore the possibilities of using the complex Langevin equation to Monte Carlo generate configurations of gauge theories with static charges present in the action. Successful results are obtained for systems that possess nontrivial saddle-point (classical) solutions. For that reason the algorithm works impressively for two-dimensional U(1) in the entire β-range whereas for three- and four-dimensional U(1) the applicability is limited to the weak coupling regime (large β). The method fails completely for SU(2) and SU(3).

Detaljer

Författare
  • J. Ambjørn
  • M. Flensburg
  • C. Peterson
Enheter & grupper
Externa organisationer
  • Niels Bohr Institute
  • Lund University
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys
Originalspråkengelska
Sidor (från-till)375-397
Antal sidor23
TidskriftNuclear Physics, Section B
Volym275
Utgåva nummer3
StatusPublished - 1986 nov 24
PublikationskategoriForskning
Peer review utfördJa