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

Ambjørn, J. ; Flensburg, M. and Peterson, C. LU (1986) In Nuclear Physics, Section B 275(3). p.375-397
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).

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Nuclear Physics, Section B
volume
275
issue
3
pages
23 pages
publisher
North-Holland
external identifiers
  • scopus:0000747625
ISSN
0550-3213
DOI
10.1016/0550-3213(86)90605-X
language
English
LU publication?
yes
id
30a8a9b6-9f36-4ef3-92bc-7270adc4d05d
date added to LUP
2019-05-14 16:39:51
date last changed
2024-01-01 04:36:51
@article{30a8a9b6-9f36-4ef3-92bc-7270adc4d05d,
  abstract     = {{<p>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).</p>}},
  author       = {{Ambjørn, J. and Flensburg, M. and Peterson, C.}},
  issn         = {{0550-3213}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{3}},
  pages        = {{375--397}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics, Section B}},
  title        = {{The complex langevin equation and Monte Carlo simulations of actions with static charges}},
  url          = {{http://dx.doi.org/10.1016/0550-3213(86)90605-X}},
  doi          = {{10.1016/0550-3213(86)90605-X}},
  volume       = {{275}},
  year         = {{1986}},
}