2019/02/28 by Antonio González-Arroyo, Issaku Kanamori, Ken-Ichi Ishikawa +4 · 10 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Gaussian #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Square lattice #Statistical physics #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.1007/jhep06(2019)127
published in Journal of High Energy Physics 2019(6) (Springer Nature) · pdflatex 30 pages, version appeared in JHEP
openalex publication_date 2019/06/01 · arxiv created 2019/06/27 · arxiv updated 2019/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract We present the results of an exploratory study of the numerical stochastic perturbation theory (NSPT) applied to the four dimensional twisted Eguchi-Kawai (TEK) model. We employ a Kramers type algorithm based on the Generalized Hybrid Molecular Dynamics (GHMD) algorithm. We have computed the perturbative expansion of square Wilson loops up to O ( g 8 ). The results of the first two coefficients (up to O ( g 4 )) have a high precision and match well with the exact values. The next two coefficients can be determined and even extrapolated to large N , where they should coincide with the corresponding coefficients for ordinary Yang-Mills theory on an infinite lattice. Our analysis shows the behaviour of the probability distribution for each coefficient tending to Gaussian for larger N . The results allow us to establish the requirements to extend this analysis to much higher order.