Renormalization in quantum field theory and the Riemann-Hilbert problem

Journal of High Energy Physics

Volumn 3, Issue 9, 1999, Pages

  Connes, Alain ^a   Kreimer, Dirk ^a  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

Quantum groups; Renormalization regularization and renormalons

Indexed keywords

EID: 33646057705     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/1999/09/024     Document Type: Article

References (7)

1. D. Kreimer, On the Hopf algebra structure of perturbative quantum field theories, Adv. Theor. Math. Phys. 2 (1998) 303 [q-alg/9707029].
2. A. Connes, D. Kreimer, Hopf algebras, renormalization and noncommutative geometry, Comm. Math. Phys. 199 (1998) 203 [hep-th/9808042].
3. D. Kreimer, Chen's iterated integral represents the operator product expansion, hep-th/9901099 to appear in Adv. Theor. Math. Phys.
4. C. Brouder, Runge-Kutta methods and renormalization, hep-th/9904014, accepted for publication in Eur. Phys. J. C.
5. L. Beutet de Monvel, A. Douady, J.-L. Verdier, Mathématique et physique, Séminaire de l'ENS 79-82. Progress in Math. 37, Birkhäuser, Boston 1983.
6. J.C. Collins, Renormalization, Cambridge University Press, Cambridge 1984.
7. D.J. Broadhurst, Four loop Dyson-Schwinger-Johnson anatomy, to appear in Phys. Lett. B, hep-ph/9909336.