PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model
A. Gonzalez-Arroyo, I. Kanamori, K.I. Ishikawa*, K. Miyahana, M. Okawa and R. Ueno
Full text: pdf
Pre-published on: January 03, 2020
Published on: August 27, 2020
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 [1].
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.
DOI: https://doi.org/10.22323/1.363.0030
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