Infinite reduction of couplings in non-renormalizable quantum field theory

Journal of High Energy Physics

Volumn , Issue 8, 2005, Pages 807-842

  Anselmi, Damiano ^a,b  

^a UNIVERSITY OF PISA   (Italy)

^b INFN SEZIONE DI PISA   (Italy)

Author keywords

Renormalization Group; Renormalization Regularization and Renormalon

Indexed keywords

EID: 24944465963     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/08/029     Document Type: Article

References (20)

1. D. Anselmi, Finiteness of quantum gravity coupled with matter in three spacetime dimensions 2004 Nucl. Phys. B 687 124 [hep-th/0309250]
2. D. Anselmi, Consistent irrelevant deformations of interacting conformal field theories 2003 J. High Energy Phys. JHEP10(2003)045 [hep-th/0309251]
3. D. Anselmi, Renormalization of a class of non-renormalizable theories 2005 J. High Energy Phys. JHEP07(2005)077 [hep-th/0502237]
4. W. Zimmermann, Reduction in the number of coupling parameters 1985 Comm. Math. Phys. 97 211
5. R. Oheme and W. Zimmermann, Relation between effective couplings for asymptotically free theories 1985 Comm. Math. Phys. 97 569
6. R.J. Perry and K.G. Wilson, Perturbative renormalizability with an infinite number of relevant and marginal operators 1993 Nucl. Phys. B 403 587
7. J. Kubo, K. Sibold and W. Zimmermann, Higgs and top mass from reduction of couplings 1985 Nucl. Phys. B 259 331
8. R. Oehme, Reduction of coupling parameters [hep-th/9511006]
9. C. Lucchesi, All-orders finite N ≤ 1 super-Yang-Mills theories [hep-th/9510078]
10. M. Atance and J.L. Cortes, Effective scalar field theory and reduction of couplings 1997 Phys. Rev. D 56 3611 [hep-ph/9612324]
11. M. Atance and J.L. Cortes, Effective field theory of gravity, reduction of couplings and the renormalization group 1996 Phys. Rev. D 54 4973 [hep-ph/9605455]
12. J. Kubo and M. Nunami, Unrenormalizable theories are predictive 2003 Eur. Phys. J. C 26 461 [hep-th/0112032]
13. G. Parisi, The theory of nonrenormalizable interactions, 1. The large-N expansion 1975 Nucl. Phys. B 100 368
14. N-1 model (D ≤ 2,3), 1980 Nucl. Phys. B 162 298
15. S. Weinberg, Ultraviolet divergences in quantum theories of gravitation in An Einstein centenary survey S. Hawking and W. Israel eds., 1979 (Cambridge University Press, Cambridge)
16. O. Lauscher and M. Reuter, Ultraviolet fixed point and generalized flow equation of quantum gravity 2002 Phys. Rev. D 65 025013 [hep-th/0108040]
17. H. Gies, J. Jaeckel and C. Wetterich, Towards a renormalizable standard model without fundamental Higgs scalar 2004 Phys. Rev. D 69 105008 [hep-ph/0312034]
18. S.J. Gates, W. Siegel, M. Rocek and M.T. Grisaru, Superspace, or one thousand and one lessons in supersymmetry Benjamin/Cummings, London 1983
19. D. Anselmi, Renormalization of quantum gravity coupled with matter in three dimensions 2004 Nucl. Phys. B 687 143 [hep-th/0309249]
20. D. Anselmi and M. Halat, Dimensionally continued infinite reduction of couplings to appear