Stochastic quantisation and gauge fixing for non-abelian lattice gauge theories

M. P. Tuite; M. J. Lavelle

doi:10.1016/0550-3213(87)90185-4

Stochastic quantisation and gauge fixing for non-abelian lattice gauge theories

M. P. Tuite
, M. J. Lavelle

Trinity College Dublin

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

1 Citation (Scopus)

Abstract

We consider the stochastic quantisation of a general non-abelian lattice gauge theory in group parameter space. It is shown that this geometrical formulation of stochastic quantisation models Monte Carlo simulations based on Metropolis and heat bath algorithms. Within this model we prove that simulations with axial gauge fixing converge more slowly to equilibrium than gauge unfixed simulations, in accord with well known numerical results.

Original language	English
Pages (from-to)	205-217
Number of pages	13
Journal	Nuclear Physics, Section B
Volume	290
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90185-4
Publication status	Published - 1987
Externally published	Yes

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title = "Stochastic quantisation and gauge fixing for non-abelian lattice gauge theories",

abstract = "We consider the stochastic quantisation of a general non-abelian lattice gauge theory in group parameter space. It is shown that this geometrical formulation of stochastic quantisation models Monte Carlo simulations based on Metropolis and heat bath algorithms. Within this model we prove that simulations with axial gauge fixing converge more slowly to equilibrium than gauge unfixed simulations, in accord with well known numerical results.",

author = "Tuite, \{M. P.\} and Lavelle, \{M. J.\}",

year = "1987",

doi = "10.1016/0550-3213(87)90185-4",

language = "English",

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pages = "205--217",

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T1 - Stochastic quantisation and gauge fixing for non-abelian lattice gauge theories

AU - Tuite, M. P.

AU - Lavelle, M. J.

PY - 1987

Y1 - 1987

N2 - We consider the stochastic quantisation of a general non-abelian lattice gauge theory in group parameter space. It is shown that this geometrical formulation of stochastic quantisation models Monte Carlo simulations based on Metropolis and heat bath algorithms. Within this model we prove that simulations with axial gauge fixing converge more slowly to equilibrium than gauge unfixed simulations, in accord with well known numerical results.

AB - We consider the stochastic quantisation of a general non-abelian lattice gauge theory in group parameter space. It is shown that this geometrical formulation of stochastic quantisation models Monte Carlo simulations based on Metropolis and heat bath algorithms. Within this model we prove that simulations with axial gauge fixing converge more slowly to equilibrium than gauge unfixed simulations, in accord with well known numerical results.

UR - https://www.scopus.com/pages/publications/45949125534

U2 - 10.1016/0550-3213(87)90185-4

DO - 10.1016/0550-3213(87)90185-4

M3 - Article

SN - 0550-3213

VL - 290

SP - 205

EP - 217

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - C

ER -

Stochastic quantisation and gauge fixing for non-abelian lattice gauge theories

Abstract

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