Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model
| Autor: | González-Arroyo, Antonio, Kanamori, Issaku, Ishikawa, Ken-Ichi, Miyahana, Kanata, Okawa, Masanori, Ueno, Ryoichiro |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | We 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 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 $O(g^{31})$. The perturbation order dependence of the computational time, we investigate it up to $O(g^{63})$, shows a mild scaling behavior on the truncation order. Comment: 7 pages, 6 figures, talk presented at the 37th International Symposium on Lattice Field Theory (Lattice 2019), 16-22 June 2019, Wuhan, China |
| Databáze: | arXiv |
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