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, R. Ueno
*corresponding author
Full text: pdf
Pre-published on: January 03, 2020
Published on: August 27, 2020
Abstract
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
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.