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

Research output: Contribution to journalLetterpeer-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 languageEnglish
Article number138429
Pages (from-to)1-7
Number of pages7
JournalPhysics Letters B
Volume849
Early online date30 Dec 2023
DOIs
Publication statusPublished - 1 Feb 2024

Keywords / Materials (for Non-textual outputs)

  • Hybrid Monte Carlo
  • Fourier acceleration
  • Principal chiral model

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