Simulation of euclidean quantum field theories by a random walk process

Ion Olimpiu Stamatescu; Ulli Wolff; Daniel Zwanziger

doi:10.1016/0550-3213(83)90417-0

Simulation of euclidean quantum field theories by a random walk process

Ion Olimpiu Stamatescu, Ulli Wolff, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e^-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.

Original language	English (US)
Pages (from-to)	377-390
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	225
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(83)90417-0
State	Published - Nov 28 1983

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(83)90417-0

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title = "Simulation of euclidean quantum field theories by a random walk process",

abstract = "A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.",

author = "Stamatescu, {Ion Olimpiu} and Ulli Wolff and Daniel Zwanziger",

note = "Funding Information: * Presented at the Trieste Workshop on non-perturbative QCD, Dec. 1982. 1 Present address: CERN, CH-1211 Geneva 23, Switzerland. 2 Address after Sept. lst: New York University, 4 Washington Place, New York, NY 10003, USA. 3 Permanent address: New York University, New York, USA. 4 This research was supported in part by National Science Foundation grant no. PHY-8116102. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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doi = "10.1016/0550-3213(83)90417-0",

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AU - Stamatescu, Ion Olimpiu

AU - Wolff, Ulli

AU - Zwanziger, Daniel

N1 - Funding Information: * Presented at the Trieste Workshop on non-perturbative QCD, Dec. 1982. 1 Present address: CERN, CH-1211 Geneva 23, Switzerland. 2 Address after Sept. lst: New York University, 4 Washington Place, New York, NY 10003, USA. 3 Permanent address: New York University, New York, USA. 4 This research was supported in part by National Science Foundation grant no. PHY-8116102. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1983/11/28

Y1 - 1983/11/28

N2 - A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.

AB - A new Monte Carlo method for euclidean lattice field theory is introduced by writing the Boltzmann distribution e-s as a solution of a diffusion type equation and constructing the associated random walk process. It is practically tested for a quantum mechanical model and a non-compact version of lattice QCD. It is explained where the main interest in this algorithm lies: the diffusion process coming from an action that can be generalized to include non-conservative forces. This possibility is exploited in our QCD version to implement gauge fixing without Faddeev-Popov ghosts.

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Simulation of euclidean quantum field theories by a random walk process

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