Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions

Roger Horsley; Brian Pendleton; Julian Wack

doi:10.1016/j.physletb.2023.138429

Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions

Roger Horsley, Brian Pendleton, Julian Wack^*

^*Corresponding author for this work

School of Physics and Astronomy

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

Abstract / Description of output

Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) × SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling.

Original language	English
Article number	138429
Pages (from-to)	1-7
Number of pages	7
Journal	Physics Letters B
Volume	849
Early online date	30 Dec 2023
DOIs	https://doi.org/10.1016/j.physletb.2023.138429
Publication status	Published - 1 Feb 2024

Keywords / Materials (for Non-textual outputs)

Hybrid Monte Carlo
Fourier acceleration
Principal chiral model

Access to Document

10.1016/j.physletb.2023.138429Licence: Creative Commons: Attribution (CC-BY)

https://arxiv.org/abs/2308.14628Licence: Creative Commons: Attribution (CC-BY)

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
STFC
1/10/17 → 30/09/21
Project: Research

Cite this

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title = "Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions",

abstract = "Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) × SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling.",

keywords = "Hybrid Monte Carlo, Fourier acceleration, Principal chiral model",

author = "Roger Horsley and Brian Pendleton and Julian Wack",

note = "7 pages, 7 figures; minor corrections for journal submission Funding Information: RH is supported in part by the STFC grant ST/P000630/1 . For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) licence to any author accepted manuscript version arising from this submission. Publisher Copyright: {\textcopyright} 2023 The Author(s)",

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doi = "10.1016/j.physletb.2023.138429",

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T1 - Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions

AU - Horsley, Roger

AU - Pendleton, Brian

AU - Wack, Julian

N1 - 7 pages, 7 figures; minor corrections for journal submission Funding Information: RH is supported in part by the STFC grant ST/P000630/1 . For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) licence to any author accepted manuscript version arising from this submission. Publisher Copyright: © 2023 The Author(s)

PY - 2024/2/1

Y1 - 2024/2/1

N2 - Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) × SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling.

AB - Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) × SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration, we show that critical slowing down is largely avoided and increases the simulation efficiency by up to a factor of 300. This yields numerical predictions at a precision exceeding that of existing studies and allows us to verify the onset of asymptotic scaling.

KW - Hybrid Monte Carlo

KW - Fourier acceleration

KW - Principal chiral model

U2 - 10.1016/j.physletb.2023.138429

DO - 10.1016/j.physletb.2023.138429

M3 - Letter

SN - 0370-2693

VL - 849

SP - 1

EP - 7

JO - Physics Letters B

JF - Physics Letters B

M1 - 138429

ER -

Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

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Projects

Particle Theory at the Higgs Centre

Cite this

Hybrid Monte Carlo simulation with Fourier acceleration of the N = 2 principal chiral model in two dimensions