On Kreimer's Hopf algebra structure of Feynman graphs

European Physical Journal C

Volumn 7, Issue 4, 1999, Pages 697-708

  Krajewski, T ^a   Wulkenhaar, R ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039182136     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100529801037     Document Type: Article

References (10)

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2. A. Connes, D. Kreimer, Hopf algebras, renormalization and noncommutative geometry, hep-th/9808042, to appear in Comm. Math. Phys.
3. A. Connes, H. Moscovici, Hopf algebras, cyclic cohomology and the transverse index theorem, math.DG/9806109
4. D. Kreimer, On overlapping divergences, hep-th/9810022
5. D. Kreimer, Renormalization and Knot Theory, J. Knot Th. Ram. 6, 479-581 (1997) and q-alg/9607022
6. C. Itzykson, J.B. Zuber, Quantum Field Theory, McGraw-Hill (1980)
7. W. Zimmermann, Convergence of Bogoliubov's method of renormalization in momentum space, Commun. Math. Phys. 15, 208-234 (1969)
8. N.N. Bogoliubov, O.S. Parasiuk, On the multiplication of the causal function in the quantum theory of fields, Acta Math. 97, 227-266 (1957)
9. K. Hepp, Proof of the Bogoliubov-Parasiuk theorem on renormalization, Commun. Math. Phys. 2, 301-326 (1966)
10. N.N. Bogoliubov, D.V. Shirkov, Introduction to the Theory of Quantized Fields, J. Wiley (1980)