Some infinite series related to Feynman diagrams
Ogreid, Odd Magne ; Osland, Per
arXiv, 0010026 / Harvested from arXiv
Text on arXiv
Results are presented for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-, two- and three-dimensional series. The sums of these series can be evaluated with the help of various integral representations for hypergeometric functions, and expressed in terms of $\zeta(2)$, $\zeta(3)$, the Catalan constant $G$ and ${\rm Cl}_2(\pi/3)$ where ${\rm Cl}_2(\theta)$ is Clausen's function.
Publié le : 2000-10-20
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{0010026,
     author = {Ogreid, Odd Magne and Osland, Per},
     title = {Some infinite series related to Feynman diagrams},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010026}
}

Ogreid, Odd Magne; Osland, Per. Some infinite series related to Feynman diagrams. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010026/