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

Summary, in English

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).

• Author: J. Ambjørn; M. Flensburg; C. Peterson
• Department/s: Department of Astronomy and Theoretical Physics - Has been reorganised
• Publishing year: 1986-11-24
• Language: English
• Pages: 375-397
• Publication/Series: Nuclear Physics, Section B
• Volume: 275
• Issue: 3
• Links: http://dx.doi.org/10.1016/0550-3213(86)90605-X
• Document type: Journal article
• Publisher: North-Holland
• Topic: Mathematical Analysis
• Status: Published
• ISBN/ISSN/Other: ISSN: 0550-3213