Abstract
General prescriptions of differential renormalization are presented. It is shown that renormalization group functions are straightforwardly expressed through some constants that naturally arise within this approach. The status of the action principle in the framework of differential renormalization is discussed.
Similar content being viewed by others
References
D.Z. Freedman, K. Johnson, J.I. Latorre: Nucl. Phys. B 371 (1992) 353
J.I. Latorre, C. Manuel, X. Vilasís Cardona: Ann. Phys. 231 (1994) 149
G. Dunne, N. Rius: Phys. Lett. 293B (1992) 367; D.Z. Freedman, G. Grignani, K. Johnson, N. Rius: Ann. Phys. 218 (1992) 75; D.Z. Freedman, K. Johnson, R. Muñoz-Tapia, X. Vilasís-Cardona: Nucl. Phys. B395 (1993) 454; D.Z. Freedman, G. Lozano, N. Rius: Phys. Rev. D49 (1994) 1054; P.E. Haagensen: Mod. Phys. Lett. A7 (1992) 893; P.E. Haagensen, J.I. Latorre: Phys. Lett. 283B 91992) 293; P.E. Haagensen, J.I. Latorre: Ann. Phys. 221 (1993) 77; C. Manuel: Int. J. Mod. Phys. A8 (1993) 3223; R. Muñoz-Tapia: Phys. Lett. 295B (1992) 95; L.V. Avdeev, D.I. Kazakov, I.N. Kondrashuk: Int. J. Mod. Phys. A9 (1994) 1067; J. Comellas, P.E. Haagensen, J.I. Latorre: preprint UB-ECM-PF 94/10 (Barcelona, 1994)
H. Osborn: unpublished (1994)
A. Patrascioiu: Lett. Nuovo Cimento 25 (1979) 527
V.A. Smirnov: Nucl. Phys. B 427 (1994) 325
V.A. Smirnov, O.I. Zavialov: Teor. Mat. Fiz. 96 (1993) 288
N.N. Bogoliubov, O.S. Parasiuk: Acta Math. 97 (1957) 227
K. Hepp: Commun. Math. Phys. 2 (1966) 301
W. Zimmermann: Commun. Math. Phys. 15 (1969) 208
F.A. Lunev: Phys. Rev. D 50 (1994) 6589
P. Breitenlohner, D. Maison: Commun. Math. Phys. 52 (1977) 11, 39, 55
G. Bonneau: Nucl. Phys. B 167 (1980) 261; K.G. Chetyrkin, Nuovo Cimento 103A (1990) 1653
A.A. Vladimirov: Teor. Mat. Fiz. 43 (1980) 210; K.G. Chetyrkin, V.A. Smirnov: Phys. Lett. 144B (1984) 419
Author information
Authors and Affiliations
Additional information
Supported by the Russian Foundation for Fundamental Research, project 93-011-147
Rights and permissions
About this article
Cite this article
Smirnov, V.A. Differential renormalization, the action principle and renormalization group calculations. Z. Phys. C - Particles and Fields 67, 531–541 (1995). https://doi.org/10.1007/BF01624595
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01624595