A cyclic integral on κ-Minkowski noncommutative space-time

International Journal of Modern Physics A

Volumn 21, Issue 15, 2006, Pages 3133-3150

  Agostini, Alessandra ^a   Amelino Camelia, Giovanni ^b   Arzano, Michele ^c   D'Andrea, Francesco ^d  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c UNIVERSITY OF NORTH CAROLINA   (United States)

^d SISSA   (Italy)

Author keywords

Noncommutative geometry; Quantum gravity; Relativity

Indexed keywords

EID: 33745546245     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X06031077     Document Type: Article

References (32)

1. H. S. Snyder, Phys. Rev. 71, 38 (1947).
2. J. Madore, S. Schraml, P. Schupp and J. Wess, Eur. Phys. J. C 16, 161 (2000).
3. B. L. Cerchiai and J. Wess, Eur. Phys. J. C 5, 553 (1998).
4. S. Doplicher, K. Fredenhagen and J. E. Roberts, Phys. Lett. B 331, 39 (1994).
5. G. Amelino-Camelia, Phys. Lett. B 392, 283 (1997).
6. N. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001).
7. B. L. Cerchiai, J. High Energy Phys. 0306, 056 (2003).
8. O. Bertolami and L. Guisado, J. High Energy Phys. 0312, 013 (2003).
9. G. Amelino-Camelia, L. Smolin and A. Starodubtsev, Class. Quantum Grav. 21, 3095 (2004).
10. L. Freidel, J. Kowalski-Glikman and L. Smolin, hep-th/0307085.
11. O. Ogievetsky, W. B. Schmidke, J. Wess and B. Zumino, Commun. Math. Phys. 150, 495 (1992).
12. P. Kosinski, J. Lukierski and P. Maslanka, Czech. J. Phys. 50, 1283 (2000).
13. G. Amelino-Camelia and S. Majid, Int. J. Mod. Phys. A 15, 4301 (2000).
14. G. Amelino-Camelia and M. Arzano, Phys. Rev. D 65, 084044 (2002).
15. A. Agostini, G. Amelino-Camelia and F. D'Andrea, hep-th/0306013.
16. S. Majid and H. Ruegg, Phys. Lett. B 334, 348 (1994).
17. J. Lukierski, H. Ruegg and W. J. Zakrzewski, Ann. Phys. 243, 90 (1995).
18. J. Kowalski-Glikman and S. Nowak, hep-th/0204245.
19. M. Dimitrijevic, L. Jonke, L. Moller, E. Tsouchnika, J. Wess and M. Wohlgenannt, Eur. Phys. J. C 31, 129 (2003).
20. W. Behr and A. Sykora, Nucl. Phys. B 698, 473 (2004).
21. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Lett. Math. Phys. 1, 521 (1977).
22. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer, Ann. Phys. 111, 61 (1978).
23. P. Schupp, P. Watts and B. Zumino, Commun. Math. Phys. 157, 305 (1993).
24. S. Gutt, math.DG/0003107.
25. J. Moyal, Proc. Camb. Phil. Soc. 45, 99 (1949).
26. H. Weyl, Z. Phys. 46, 1 (1927).
27. A. Agostini, F. Lizzi and A. Zampini, Mod. Phys. Lett. A 17, 2105 (2002).
28. P. Kosinski, P. Maslanka, J. Lukierski and A. Sitarz, Czech. J. Phys. 48, 1407 (1998).
29. S. Majid and R. Oeckl, Commun. Math. Phys. 205, 617 (1999).
30. P. Kosinski, J. Lukierski and P. Maslanka, Nucl. Phys. B (Proc. Suppl.) 102 & 103, 161 (2001).
31. G. Amelino-Camelia, Lect. Notes Phys. 541, 1 (2000).
32. G. Amelino-Camelia, F. D'Andrea and G. Mandanici, J. Cosmol. Astropart. Phys. 0309, 006 (2003).