Gauge and Poincaré invariant regularization and Hopf symmetries

Modern Physics Letters A

Volumn 27, Issue 17, 2012, Pages

  Lizzi, Fedele ^a,b,c   Vitale, Patrizia ^a,b,d  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b INFN SEZIONE DI NAPOLI   (Italy)

^c UNIVERSITY OF BARCELONA   (Spain)

^d UNIVERSITÉ PARIS SUD   (France)

Author keywords

Quantum field theory; regularization; star products

Indexed keywords

EID: 84861852132     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732312500976     Document Type: Article

References (25)

1. J. Polchinski, Nucl. Phys. B 231, 269 (1984).
2. J. M. Pawlowski, Ann. Phys. 322, 2831 (2007).
3. M. Simionato, Int. J. Mod. Phys. A 15, 2153 (2000).
4. T. R. Morris and O. J. Rosten, J. Phys. A 39, 11657 (2006).
5. Y. Gu, J. Phys. A 39, 13575 (2006).
6. M. Bonini, M. D'Attanasio and G. Marchesini, Nucl. Phys. B 418, 81 (1994).
7. T. R. Morris and O. J. Rosten, Phys. Rev. D 73, 065003 (2006).
8. R. J. Szabo, Phys. Rep. 378, 207 (2003).
9. F. Ardalan, H. Arfaei, M. Ghasemkhani and
10. S. Galluccio, F. Lizzi and P. Vitale, JHEP 0909, 054 (2009).
11. P. Gaete, J. Helayel-Neto and E. Spallucci, arXiv:1201.5551.
12. M. Kaku, Quantum Field Theory (Oxford Univ. Press, 1993).
13. H. Grönewold, Physica 12, 405 (1946).
14. J. E. Moyal, Proc. Camb. Philos. Soc. 45, 99 (1949).
15. F. Ardalan and N. Sadooghi, Phys. Rev. D 83, 025014 (2011).
16. S. Galluccio, F. Lizzi and P. Vitale, Phys. Rev. D 78, 085007 (2008).
17. A. P. Balachandran, S. Kurkcuoglu and S. Vaidya, Lectures on Fuzzy and Fuzzy SUSY Physics (World Scientific, 2007), p. 191.
18. F. Lizzi, P. Vitale and A. Zampini, JHEP 0308, 057 (2003).
19. F. Lizzi, P. Vitale and A. Zampini, JHEP 0509, 080 (2005).
20. A. H. Chamseddine and A. Connes, Commun. Math. Phys. 186, 731 (1997).
21. A. A. Andrianov and L. Bonora, Nucl. Phys. B 233, 232 (1984).
22. K. Fujikawa, H. Suzuki, Path Integrals and Quantum Anomalies (Oxford Univ. Press, 2004).
23. A. A. Andrianov, M. A. Kurkov and F. Lizzi, JHEP 1110, 001 (2011).
24. P. Aschieri, M. Dimitrijevich, P. P. Kulish, F. Lizzi and J. Wess, Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory, Springer Lecture Notes in Physics, Vol. 774 (Springer, 2009).
25. V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge Univ. Press, 1994).