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

J. Ambjørn; M. Flensburg; C. Peterson

doi:10.1016/0550-3213(86)90605-X

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

J. Ambjørn, M. Flensburg, C. Peterson

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Sammanfattning

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).

Originalspråk	engelska
Sidor (från-till)	375-397
Antal sidor	23
Tidskrift	Nuclear Physics, Section B
Volym	275
Nummer	3
DOI	https://doi.org/10.1016/0550-3213(86)90605-X
Status	Published - 1986 nov. 24

Ämnesklassifikation (UKÄ)

Matematisk analys

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10.1016/0550-3213(86)90605-X

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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).",

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AB - 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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DO - 10.1016/0550-3213(86)90605-X

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

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