2020/01/09 by Antonio González-Arroyo, González-Arroyo, Antonio, Issaku Kanamori +10
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.48550/arxiv.2001.02835
7 pages, 6 figures, talk presented at the 37th International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China
arxiv created 2020/01/09 · openalex publication_date 2020/01/09 · arxiv updated 2020/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have evaluated perturbation coefficients of Wilson loops up to O(g8) for the four-dimensional twisted Eguchi-Kawai model using the numerical stochastic perturbation theory (NSPT) in arXiv:1902.09847. In this talk we present a progress report on the higher order calculation up to O(g63), for which we apply a fast Fourier transformation (FFT) based convolution algorithm to the multiplication of polynomial matrices in the NSPT aiming for higher order calculation. We compare two implementations with the CPU-only version and the GPU version of the FFT based convolution algorithm, and find a factor 9 improvement on the computational speed of the NSPT algorithm with SU(N=225) at O(g31). The perturbation order dependence of the computational time, we investigate it up to O(g63), shows a mild scaling behavior on the truncation order.