On matrix differential equations in the Hopf algebra of renormalization
Ebrahimi-Fard, Kurusch ; Manchon, Dominique
Adv. Theor. Math. Phys., Tome 10 (2006) no. 4, p. 879-913 / Harvested from Project Euclid
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We establish Sakakibara’s differential equations [M. Sakakibara, On the differential equations of the characters for the renormalization group, Mod. Phys. Lett. A 19 (2004), 1453.] in a matrix setting for the counter term (respectively renormalized character) in Connes-Kreimer’s Birkhoff decomposition in any connected graded Hopf algebra, thus including Feynman rules in perturbative renormalization as a key example.
Publié le : 2006-12-14
Classification:  
@article{1180135568,
     author = {Ebrahimi-Fard, Kurusch and Manchon, Dominique},
     title = {On matrix differential equations in the Hopf algebra of renormalization},
     journal = {Adv. Theor. Math. Phys.},
     volume = {10},
     number = {4},
     year = {2006},
     pages = { 879-913},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1180135568}
}

Ebrahimi-Fard, Kurusch; Manchon, Dominique. On matrix differential equations in the Hopf algebra of renormalization. Adv. Theor. Math. Phys., Tome 10 (2006) no. 4, pp.  879-913. http://gdmltest.u-ga.fr/item/1180135568/