Towards higher order numerical stochastic perturbation computation applied to the twisted Eguchi-Kawai model

19 Jun 2019, 09:20
20m
Shimao 5

Shimao 5

Parallel Algorithms and Machines Algorithms and Machines

Speaker

Ken-Ichi Ishikawa (Hiroshima University)

Description

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 the progress report on the higher order calculation up to $O(g^{63})$, for which we apply the fast Fourier transformation (FFT) based convolution algorithm to the multiplication of polynomial matrices in the NSPT to achieve higher order calculation.

Authors

Antonio Gonzalez-Arroyo (Universidad Autonoma de Madrid) Issaku Kanamori (R-CCS, RIKEN) Ken-Ichi Ishikawa (Hiroshima University) Mr Kanata Miyahana (Hiroshima University) Dr Masanori Okawa Mr Ryoichiro Ueno (Hiroshima University)

Presentation materials