Deformed dimensional regularization for odd (and even) dimensional theories

International Journal of Modern Physics A

Volumn 20, Issue 7, 2005, Pages 1389-1418

  Anselmi, Damiano ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Chern simons theory; Dimensional regularization; General theory of field and particles; Gravity; Renormalization

Indexed keywords

ARTICLE; FERMION; GRAVITY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICS; QUANTUM MECHANICS;

EID: 18644364870     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X0501983X     Document Type: Article

References (25)

1. C. G. Bollini and J. J. Giambiagi, Nuovo Cimento B12, 20 (1972).
2. G. 't Hooft and M. J. G. Veltman, Nucl. Phys. B44, 189 (1972).
3. P. Breitenlhoner and D. Maison, Commun. Math. Phys. 52, 11 (1977).
4. J. C. Collins, Renormalization (Cambridge University Press, Cambridge, 1984).
5. S. L. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969).
6. G. Parisi, Nucl. Phys. B100, 368 (1975).
7. D. Anselmi, J. High Energy Phys. 0006, 042 (2000).
8. D. Anselmi, Nucl. Phys. B58, 440 (2003).
9. L. D. Fadeev and A. A. Slavnov, Gauge Fields, Introduction to Quantum Theory (The Benjamin/Cummings Publishing Company, 1980), see Subsec. 4.4.
10. D. Anselmi, A note on the dimensional regularization of the Standard Model coupled with quantum gravity, arXiv:hep-th/0404032.
11. M. J. Dugan and B. Grinstein, Phys. Lett. B256, 239 (1991).
12. S. Herrlich and U. Nierste, Nucl. Phys. B455, 39 (1995); K. Adel and Y. P. Yao, Phys. Rev. D53, 374 (1996).
13. S. Herrlich and U. Nierste, Nucl. Phys. B455, 39 (1995); K. Adel and Y. P. Yao, Phys. Rev. D53, 374 (1996).
14. For a review see for example O. Piguet and S. P. Sorella, Algebraic Renormalization: Perturbative Renormalization, Symmetries and Anomalies, Lecture Notes in Physics (Springer-Verlag, Berlin, 1995).
15. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B437, 163 (1995).
16. D. Anselmi, J. High Energy Phys. 0310, 045 (2003).
17. D. Anselmi, Nucl. Phys. B687, 143 (2004).
18. D. Anselmi, Nucl. Phys. B687, 124 (2004).
19. 5 in dimensional regularization, arXiv:hep-th/9401354.
20. S. Weinberg, Phys. Rev. 118, 838 (1960).
21. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Westview Press, 1995).
22. B. Rosenstein, B. Warr and S. H. Park, Phys. Rep. 205, 59 (1991).
23. A. N. Redlich, Phys. Rev. Lett. 52, 18 (1984).
24. E. Witten, Phys. Lett. B117, 324 (1982).
25. D. Anselmi, Class. Quantum Grav. 21, 29 (2004).