Nonlinear and quantum origin of doubly infinite family of modified addition laws for fourmomenta

Czechoslovak Journal of Physics

Volumn 52, Issue 11, 2002, Pages 1261-1268

  Lukierski, J ^a   Nowicki, A ^b  

^a UNIVERSITY OF WROC AW   (Poland)

^b UNIVERSITY OF ZIELONA GÓRA   (Poland)

Author keywords

Quantum gravity; Quantum groups; Relativistic kinematics

Indexed keywords

EID: 0036027319     PISSN: 00114626     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021393105890     Document Type: Conference Paper

References (34)

1. J. Magueijo and L. Smolin: hep-th/0112009; Phys. Rev. Lett. 88 (2002) 190403.
2. J. Magueijo and L. Smolin: hep-th/0112009; Phys. Rev. Lett. 88 (2002) 190403.
3. J. Lukierski and A. Nowicki: hep-th/0203065; Int. J. Math. Phys., in press.
4. J. Lukierski and A. Nowicki: hep-th/0203065; Int. J. Math. Phys., in press.
5. S. Judes and M. Visser: gr-qc/0205067.
6. D.V. Ahluwalia and M. Kirchbach: gr-qc/0207004.
7. J. Rembieliński and K. Smoliński: hep-th/0207031.
8. J. Magueijo and L. Smolin: gr-qc/0207085.
9. A. Granik: hep-th/0207113.
10. S. Zakrzewski: Commun. Math. Phys. 185 (1997) 285.
11. D. Etingoff and D. Kazhdan: q-alg/9506005; q-alg/9610030; q-alg/9701038; math. QA /9801043; math. QA/9808121.
12. V.G. Drinfeld: in Proc. Int. Congress of Mathematics, Berkeley, 1986, p. 798.
13. V.G. Drinfeld: Leningrad J. Math. 1 (1990) 1419.
14. J. Lukierski, A. Nowicki, H. Ruegg, and V.N. Tolstoy: J. Phys. A 27 (1994) 2389.
15. P.P. Kulish, V.D. Lyakhovsky, and A.I. Mudrov: J. Math. Phys. 40 (1999) 4569.
16. J. Lukierski, H. Ruegg, A. Nowicki, and V.N. Tolstoy: Phys. Lett. B 264 (1991) 331.
17. J. Lukierski, A. Nowicki, and V.N. Tolstoy: in Proc. XXX-th Karpacz Winter School, Feb. 1994, PWN (Polish Scientific Publishers, 1995, p. 259.
18. S. Majid and H. Ruegg: Phys. Lett. B 329 (1994) 189.
19. J. Lukierski, H. Ruegg, and W. Zakrzewski: Ann. Phys. 243 (1995) 30.
20. P. Kosiński and P. Maślanka: in From Field Theory to Quantum Groups (Eds. B. Jancewicz and J. Sobczyk), World Scientific, 1966, p. 41; q-alg/9512018.
21. J. Lukierski, V.D. Lyakhovsky, and M. Mozrzymas: Phys. Lett. B 538 (2002) 375.
22. M.E. Sweedler: Hopf Algebras, Benjamin, 1969.
23. P. Kosiński, J. Lukierski, P. Maślanka, and J. Sobczyk: J. Phys. A 28 (1995) 2255.
24. G. Amelino-Camelia: Int. J. Phys. D 11 (2002) 35; Phys. Lett. B 510 (2001) 255.
25. G. Amelino-Camelia: Int. J. Phys. D 11 (2002) 35; Phys. Lett. B 510 (2001) 255.
26. G. Amelino-Camelia, D. Benedetti, and F. D'Andrea: hep-th/0201245.
27. S. Zakrzewski: Contemporary Math. 179 (1994) 271.
28. S. Majid: Foundations of Quantum Group Theory, Cambridge University Press, 1995.
29. N.R. Bruno, G. Ameline-Camelia, and J. Kowalski-Glikman: Phys. Lett. B 522 (2001) 391.
30. J. Kowalski-Glikman and S. Nowak: hep-th/0203040; Phys. Lett. B 539 (2002) 126.
31. J. Kowalski-Glikman and S. Nowak: hep-th/0203040; Phys. Lett. B 539 (2002) 126.
32. J. Kowalski-Glikman and S. Nowak: hep-th/0204245.
33. D.G. Curie, T.F. Jordan, and E.C.G. Sudarshan: Rev. Mod. Phys. 35 (1963) 350.
34. H. Leutwyler: Nuovo Cimmento 37 (1965) 556.