Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model
Entity
UAM. Departamento de Física TeóricaPublisher
SpringerDate
2019-06-01Citation
10.1007/JHEP06(2019)127
Journal of High Energy Physics 2019.06 (2019): 127
ISSN
1126-6708DOI
10.1007/JHEP06(2019)127Funded by
A.G.-A. acknowledges financial support from the MINECO/FEDER grant FPA2015-68541-P and the MINECO Centro de Excelencia Severo Ochoa Program SEV2016-0597. K.-I.I. and M.O. are supported by JSPS KAKENHI Grant Numbers 16K05326 and 17K05417, respectively. K.-I.I. and I.K. acknowledge for financial support by Priority Issue 9 to be tackled by using Post K Computer. The numerical computation for this paper were performed on the subsystem A of the ITO supercomputer system at Research Institute for Information Technology, Kyushu University, and workstations at INSAM (Institute for Nonlinear Sciences and Applied Mathematics), Hiroshima UniversityProject
Gobierno de España. FPA2015-68541-P; Gobierno de España. SEV2016-0597Editor's Version
https://doi.org/10.1007/JHEP06(2019)127Subjects
1/N Expansion; Lattice QCD; Perturbative QCD; FísicaRights
© 2019, The Author(s)Abstract
We present the results of an exploratory study of the numerical stochastic perturbation theory (NSPT) applied to the four dimensional twisted Eguchi-Kawai (TEK) model. We employ a Kramers type algorithm based on the Generalized Hybrid Molecular Dynamics (GHMD) algorithm. We have computed the perturbative expansion of square Wilson loops up to O(g8). The results of the first two coefficients (up to O(g4)) have a high precision and match well with the exact values. The next two coefficients can be determined and even extrapolated to large N, where they should coincide with the corresponding coefficients for ordinary Yang-Mills theory on an infinite lattice. Our analysis shows the behaviour of the probability distribution for each coefficient tending to Gaussian for larger N. The results allow us to establish the requirements to extend this analysis to much higher order
Files in this item
Google Scholar:González-Arroyo España, Antonio
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Kanamori, Issaku
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Ishikawa, Ken Ichi
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Miyahana, Kanata
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Okawa, Masanori
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Ueno, Ryoichiro
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