2019年6月25日

# Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model

JHEP
• Antonio González-Arroyo
• ,
• Issaku Kanamori
• ,
• Ken-Ichi Ishikawa
• ,
• Kanata Miyahana
• ,
• Masanori Okawa
• ,
• Ryoichiro Ueno

1906
127

DOI
10.1007/JHEP06(2019)127

We present the results of an exploratory study of the numerical stochastic<br />
perturbation theory (NSPT) applied to the four dimensional twisted Eguchi-Kawai<br />
(TEK) model. We employ a Kramers type algorithm based on the Generalized Hybrid<br />
Molecular Dynamics (GHMD) algorithm. We have computed the perturbative<br />
expansion of square Wilson loops up to $O(g^8)$. The results of the first two<br />
coefficients (up to $O(g^4)$) have a high precision and match well with the<br />
exact values. The next two coefficients can be determined and even extrapolated<br />
to large $N$, where they should coincide with the corresponding coefficients<br />
for ordinary Yang-Mills theory on an infinite lattice. Our analysis shows the<br />
behaviour of the probability distribution for each coefficient tending to<br />
Gaussian for larger $N$. The results allow us to establish the requirements to<br />
extend this analysis to much higher order.

リンク情報
DOI
https://doi.org/10.1007/JHEP06(2019)127
arXiv
http://arxiv.org/abs/arXiv:1902.09847
URL
http://arxiv.org/abs/1902.09847v2