Combinatorics of renormalization as matrix calculus

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 632, Issue 4, 2006, Pages 552-558

  Ebrahimi Fard, Kurusch ^a   Gracia Bondía, José M ^b   Guo, Li ^c   Várilly, Joseph C ^d  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c RUTGERS UNIVERSITY   (United States)

^d UNIVERSIDAD DE COSTA RICA   (Costa Rica)

Author keywords

Birkhoff decomposition; Dimensional regularization; Hopf algebra of renormalization; Matrix calculus; Multiplicative renormalization; Rota Baxter operators

Indexed keywords

EID: 29344432590     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physletb.2005.11.001     Document Type: Article

References (16)

1. D. Kreimer Adv. Theor. Math. Phys. 2 1998 303
2. D.J. Broadhurst, and D. Kreimer Phys. Lett. B 475 2000 63
3. K. Ebrahimi-Fard, and L. Guo hep-th/0508155
4. 4-Theories 2001 World Scientific Singapore
5. K. Ebrahimi-Fard, L. Guo, and D. Kreimer J. Phys. A 37 2004 11037
6. W.E. Caswell, and A.D. Kennedy Phys. Rev. D 25 1982 392
7. F.V. Atkinson J. Math. Anal. Appl. 7 1963 1
8. K. Ebrahimi-Fard, L. Guo, The Spitzer identity, in: M. Hazewinkel (Ed.), Encyclopedia of Mathematics, in press
9. J.C. Collins Renormalization 1984 Cambridge Univ. Press Cambridge
10. G. 't Hooft Int. J. Mod. Phys. A 20 2005 1336
11. D. Kreimer Adv. Theor. Math. Phys. 3 1999 627
12. A. Connes, and D. Kreimer Commun. Math. Phys. 210 2000 249
13. A. Connes, and D. Kreimer Commun. Math. Phys. 216 2001 215
14. H. Figueroa, J.M. Gracia-Bondía, and J.C. Várilly Faà di Bruno Hopf algebras in: M. Hazewinkel (Ed.), Encyclopedia of Mathematics, in press math.CO/0508337
15. G.B. Pivovarov, and F.V. Tkachov Int. J. Mod. Phys. A 8 1993 2241
16. K. Ebrahimi-Fard, J.M. Gracia-Bondía, L. Guo, in preparation