Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model
A González-Arroyo, I Kanamori, KI Ishikawa… - arXiv preprint arXiv …, 2020 - arxiv.org
A González-Arroyo, I Kanamori, KI Ishikawa, K Miyahana, M Okawa, R Ueno
arXiv preprint arXiv:2001.02835, 2020•arxiv.orgWe have evaluated perturbation coefficients of Wilson loops up to $ O (g^ 8) $ 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 (g^{63}) $, 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 …
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 (g^{63}) $, 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 …
We have evaluated perturbation coefficients of Wilson loops up to 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 , 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() at . The perturbation order dependence of the computational time, we investigate it up to , shows a mild scaling behavior on the truncation order.
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