General Dyson–Schwinger Equations and Systems

Author:

Foissy Loïc

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference19 articles.

1. Abe, E.: Hopf algebras, Cambridge Tracts in Mathematics, vol. 74. Cambridge University Press, Cambridge (1980) [Translated from the Japanese by Hisae Kinoshita and Hiroko Tanaka]

2. Bergbauer, C., Kreimer, D.: Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology. IRMA Lect. Math. Theor. Phys., vol. 10, Eur. Math. Soc., Zürich (2006). arXiv:hep-th/0506190

3. Chapoton, F., Livernet, M.: Pre-Lie algebras and the rooted trees operad. Int. Math. Res. Notices 8, 395–408 (2001). arXiv:math/0002069

4. Connes, A., Kreimer, D.: Hopf algebras, Renormalization and Noncommutative geometry. Commun. Math. Phys 199(1), 203–242 (1998). arXiv:hep-th/9808042

5. Foissy, L.: Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson–Schwinger equations. Adv. Math. 218, 136–162 (2008). arXiv:0707.1204

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