Stochastic quantisation and gauge fixing in lattice gauge theories

B. Lautrup; M. J. Lavelle; M. P. Tuite; A. Vladikas

doi:10.1016/0550-3213(87)90184-2

Stochastic quantisation and gauge fixing in lattice gauge theories

B. Lautrup, M. J. Lavelle, M. P. Tuite, A. Vladikas

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

A mechanism is proposed to explain why gauge fixing reduces the speed of convergence to equilibrium in Monte Carlo simulations of lattice gauge theories, relative to unfixed theories. This is proven theoretically for U(1) theory (with and without fermions) in the framework of stochastic quantisation and verified by Monte Carlo simulations of the pure U(1) theory. It is shown that with certain realistic assumptions the Fokker-Planck equation models Monte Carlo simulations based on the Metropolis and heat bath algorithms.

Original language	English
Pages (from-to)	188-204
Number of pages	17
Journal	Nuclear Physics, Section B
Volume	290
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90184-2
Publication status	Published - 1987
Externally published	Yes

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title = "Stochastic quantisation and gauge fixing in lattice gauge theories",

abstract = "A mechanism is proposed to explain why gauge fixing reduces the speed of convergence to equilibrium in Monte Carlo simulations of lattice gauge theories, relative to unfixed theories. This is proven theoretically for U(1) theory (with and without fermions) in the framework of stochastic quantisation and verified by Monte Carlo simulations of the pure U(1) theory. It is shown that with certain realistic assumptions the Fokker-Planck equation models Monte Carlo simulations based on the Metropolis and heat bath algorithms.",

author = "B. Lautrup and Lavelle, {M. J.} and Tuite, {M. P.} and A. Vladikas",

year = "1987",

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AU - Lavelle, M. J.

AU - Tuite, M. P.

AU - Vladikas, A.

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Y1 - 1987

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AB - A mechanism is proposed to explain why gauge fixing reduces the speed of convergence to equilibrium in Monte Carlo simulations of lattice gauge theories, relative to unfixed theories. This is proven theoretically for U(1) theory (with and without fermions) in the framework of stochastic quantisation and verified by Monte Carlo simulations of the pure U(1) theory. It is shown that with certain realistic assumptions the Fokker-Planck equation models Monte Carlo simulations based on the Metropolis and heat bath algorithms.

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Stochastic quantisation and gauge fixing in lattice gauge theories

Abstract

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