Dirac spinors for doubly special relativity and Κ-Minkowski noncommutative spacetime

Classical and Quantum Gravity

Volumn 21, Issue 8, 2004, Pages 2179-2202

  Agostini, Alessandra ^a   Amelino Camelia, Giovanni ^b   Arzano, Michele ^c  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442423367     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/8/018     Document Type: Article

References (65)

1. Stachel J 1999 Early history of quantum gravity Black Holes, Gravitational Radiation and the Universe ed B R Iyer and B Bhawal (Doredrecht: Kluwer)
2. Rovelli C 2000 Proc. 9th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (Rome, Italy, 2-9 July 2000) (Preprint gr-qc/0006061)
3. Green M B, Schwarz J H and Witten E 1987 Superstring Theory (Cambridge: Cambridge University Press) Polchinski J 1998 Superstring Theory and Beyond (Cambridge: Cambridge University Press)
4. Green M B, Schwarz J H and Witten E 1987 Superstring Theory (Cambridge: Cambridge University Press) Polchinski J 1998 Superstring Theory and Beyond (Cambridge: Cambridge University Press)
5. Rovelli C 1998 Living Rev. Rel. 1 1 Thiemann T 2001 Preprint gr-qc/0110034 Ashtekar A 2001 Preprint gr-qc/0112038 Smolin L 2003 Preprint hep-th/0303185
6. Rovelli C 1998 Living Rev. Rel. 1 1 Thiemann T 2001 Preprint gr-qc/0110034 Ashtekar A 2001 Preprint gr-qc/0112038 Smolin L 2003 Preprint hep-th/0303185
7. Rovelli C 1998 Living Rev. Rel. 1 1 Thiemann T 2001 Preprint gr-qc/0110034 Ashtekar A 2001 Preprint gr-qc/0112038 Smolin L 2003 Preprint hep-th/0303185
8. Rovelli C 1998 Living Rev. Rel. 1 1 Thiemann T 2001 Preprint gr-qc/0110034 Ashtekar A 2001 Preprint gr-qc/0112038 Smolin L 2003 Preprint hep-th/0303185
9. Amelino-Camelia G 2000 Are we at the dawn of quantum-gravity phenomenology? Lect. Notes Phys. 541 1 (Preprint gr-qc/9910089) Amelino-Camelia G 2000 Quantum-gravity phenomenology: status and prospects Mod. Phys. Lett. A 17 899 (Preprint gr-qc/0204051)
10. Amelino-Camelia G 2000 Are we at the dawn of quantum-gravity phenomenology? Lect. Notes Phys. 541 1 (Preprint gr-qc/9910089) Amelino-Camelia G 2000 Quantum-gravity phenomenology: status and prospects Mod. Phys. Lett. A 17 899 (Preprint gr-qc/0204051)
11. Sarkar S 2002 Preprint gr-qc/0204092
12. Ahluwalia D V 2002 Preprint gr-qc/0205121
13. Mavromatos N E 2003 Preprint hep-ph/0309221
14. Ashtekar A and Stachel J J (ed) 1991 Conceptual Problems in Quantum Gravity (Boston: Birkhauser)
15. Volovik G E 2003 Found. Phys. 33 349 (Preprint gr-qc/0301043) Volovik G E 2003 The Universe in a Helium Droplet (Oxford: Clarendon)
16. Volovik G E 2003 Found. Phys. 33 349 (Preprint gr-qc/0301043) Volovik G E 2003 The Universe in a Helium Droplet (Oxford: Clarendon)
17. Chapline G, Hohlfeld E, Laughlin R B and Santiago D I 2001 Phil. Mag. 81 235 (Preprint gr-qc/0012094) Laughlin R B 2003 Int. J. Mod. Phys. A 18 831 (Preprint gr-qc/0302028)
18. Chapline G, Hohlfeld E, Laughlin R B and Santiago D I 2001 Phil. Mag. 81 235 (Preprint gr-qc/0012094) Laughlin R B 2003 Int. J. Mod. Phys. A 18 831 (Preprint gr-qc/0302028)
19. Amelino-Camelia G 2003 Preprint gr-qc/0309054
20. Amelino-Camelia G 2002 Int. J. Mod. Phys. D 11 35 (Preprint gr-qc/0012051) Amelino-Camelia G 2002 Phys. Lett. B 510 255 (Preprint hep-th/0012238) Amelino-Camelia G 2002 Nature 418 34 (Preprint gr-qc/0207049)
21. Amelino-Camelia G 2002 Int. J. Mod. Phys. D 11 35 (Preprint gr-qc/0012051) Amelino-Camelia G 2002 Phys. Lett. B 510 255 (Preprint hep-th/0012238) Amelino-Camelia G 2002 Nature 418 34 (Preprint gr-qc/0207049)
22. Amelino-Camelia G 2002 Int. J. Mod. Phys. D 11 35 (Preprint gr-qc/0012051) Amelino-Camelia G 2002 Phys. Lett. B 510 255 (Preprint hep-th/0012238) Amelino-Camelia G 2002 Nature 418 34 (Preprint gr-qc/0207049)
23. Kowalski-Glikman J 2001 Phys. Lett. A 286 391 (Preprint hep-th/0102098) Bruno R, Amelino-Camelia G and Kowalski-Glikman J 2001 Phys. Lett. B 522 133 (Preprint hep-th/0107039) Amelino-Camelia G, Benedetti D and D'Andrea F 2003 Class. Quantum Grav. 20 5353 (Preprint hep-th/0201245) Kowalski-Glikman J and Nowak S Int. J. Mod. Phys. D 12 299 (Preprint hep-th/0204245) Judes S and Visser M 2003 Phys. Rev. D 68 045001 (Preprint gr-qc/0205067)
24. Kowalski-Glikman J 2001 Phys. Lett. A 286 391 (Preprint hep-th/0102098) Bruno R, Amelino-Camelia G and Kowalski-Glikman J 2001 Phys. Lett. B 522 133 (Preprint hep-th/0107039) Amelino-Camelia G, Benedetti D and D'Andrea F 2003 Class. Quantum Grav. 20 5353 (Preprint hep-th/0201245) Kowalski-Glikman J and Nowak S Int. J. Mod. Phys. D 12 299 (Preprint hep-th/0204245) Judes S and Visser M 2003 Phys. Rev. D 68 045001 (Preprint gr-qc/0205067)
25. Kowalski-Glikman J 2001 Phys. Lett. A 286 391 (Preprint hep-th/0102098) Bruno R, Amelino-Camelia G and Kowalski-Glikman J 2001 Phys. Lett. B 522 133 (Preprint hep-th/0107039) Amelino-Camelia G, Benedetti D and D'Andrea F 2003 Class. Quantum Grav. 20 5353 (Preprint hep-th/0201245) Kowalski-Glikman J and Nowak S Int. J. Mod. Phys. D 12 299 (Preprint hep-th/0204245) Judes S and Visser M 2003 Phys. Rev. D 68 045001 (Preprint gr-qc/0205067)
26. Kowalski-Glikman J 2001 Phys. Lett. A 286 391 (Preprint hep-th/0102098) Bruno R, Amelino-Camelia G and Kowalski-Glikman J 2001 Phys. Lett. B 522 133 (Preprint hep-th/0107039) Amelino-Camelia G, Benedetti D and D'Andrea F 2003 Class. Quantum Grav. 20 5353 (Preprint hep-th/0201245) Kowalski-Glikman J and Nowak S Int. J. Mod. Phys. D 12 299 (Preprint hep-th/0204245) Judes S and Visser M 2003 Phys. Rev. D 68 045001 (Preprint gr-qc/0205067)
27. Kowalski-Glikman J 2001 Phys. Lett. A 286 391 (Preprint hep-th/0102098) Bruno R, Amelino-Camelia G and Kowalski-Glikman J 2001 Phys. Lett. B 522 133 (Preprint hep-th/0107039) Amelino-Camelia G, Benedetti D and D'Andrea F 2003 Class. Quantum Grav. 20 5353 (Preprint hep-th/0201245) Kowalski-Glikman J and Nowak S Int. J. Mod. Phys. D 12 299 (Preprint hep-th/0204245) Judes S and Visser M 2003 Phys. Rev. D 68 045001 (Preprint gr-qc/0205067)
28. Alexander S and Magueijo J 2001 Preprint hep-th/0104093 Magueijo J and Smolin L 2003 Phys. Rev. D 67 044017 (Preprint gr-qc/0207085) Kimberly D, Magueijo J and Medeiros J 2003 Preprint gr-qc/0303067
29. Alexander S and Magueijo J 2001 Preprint hep-th/0104093 Magueijo J and Smolin L 2003 Phys. Rev. D 67 044017 (Preprint gr-qc/0207085) Kimberly D, Magueijo J and Medeiros J 2003 Preprint gr-qc/0303067
30. Alexander S and Magueijo J 2001 Preprint hep-th/0104093 Magueijo J and Smolin L 2003 Phys. Rev. D 67 044017 (Preprint gr-qc/0207085) Kimberly D, Magueijo J and Medeiros J 2003 Preprint gr-qc/0303067
31. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
32. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
33. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
34. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
35. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
36. Mignemi S 2002 Preprint hep-th/0208062 Toller M 2002 Preprint hep-ph/0211094 Chakrabarti A 2002 J. Math. Phys. 44 3800 (Preprint hep-th/0211214) Mignemi S 2003 Phys. Rev. D 68 065029 (Preprint gr-qc/0304029) Ballesteros A, Bruno N R and Herranz F J 2003 Phys. Lett. B 574 276 (Preprint hep-th/0306089) Ballesteros A, Bruno N R and Herranz F J 2003 J. Phys. A: Math. Gen. 36 10493 (Preprint hep-th/0305033)
37. Amelino-Camelia G, D'Andrea F and Mandanici G 2003 J. Cosmol. Astropart. Phys. JCAP09(2003)006 (Preprint hep-th/0211022)
38. Norris J P, Bonnell J T, Marani G F and Scargle J D 1999 Preprint astro-ph/9912136 de Angelis A 2000 Preprint astro-ph/0009271
39. Norris J P, Bonnell J T, Marani G F and Scargle J D 1999 Preprint astro-ph/9912136 de Angelis A 2000 Preprint astro-ph/0009271
40. Ahluwalia D V 2002 Preprint gr-qc/0207004
41. Blasone M, Magueijo J and Pires-Pacheco P 2003 Preprint hep-ph/0307205
42. Lukierski J and Nowicki A 2002 Preprint hep-th/0203065
43. Majid S and Ruegg H 1994 Phys. Lett. B 334 348
44. Lukierski J, Ruegg H and Zakrzewski W J 1995 Ann. Phys. 243 90
45. Amelino-Camelia G and Majid S 2000 Int. J. Mod. Phys. A 15 4301 (Preprint hep-th/9907110)
46. Ahluwalia D V and Kirchbach M 2001 Int. J. Mod. Phys. D 10 811
47. Amelino-Camelia G, Ellis J, Mavromatos N E and Nanopoulos D V 1996 Int. J. Mod. Phys. A 12 607 (Preprint hep-th/9605211) Amelino-Camelia G, Ellis J, Mavromatos N E, Nanopoulos D V and Sarkar S 1997 Nature 393 763 (Preprint astro-ph/9712103)
48. Amelino-Camelia G, Ellis J, Mavromatos N E and Nanopoulos D V 1996 Int. J. Mod. Phys. A 12 607 (Preprint hep-th/9605211) Amelino-Camelia G, Ellis J, Mavromatos N E, Nanopoulos D V and Sarkar S 1997 Nature 393 763 (Preprint astro-ph/9712103)
49. Amelino-Camelia G and Piran T 2001 Phys. Rev. D 64 036005 (Preprint astro-ph/0008107)
50. Dirac P A M 1984 The Principles of Quantum Mechanics (Clarendon: Oxford Science Publications)
51. Lukierski J, Ruegg H and Ruhl W 1993 Phys. Lett. B 313 357
52. Batalin I A 1981 J. Math. Phys. 22 1837
53. Madore J, Schraml S, Schupp P and Wess J 2000 Eur. Phys. J. C 16 161 (Preprint hep-th/0001203)
54. Agostini A, Lizzi F and Zampini A 2002 Mod. Phys. Lett. A 17 2105 (Preprint hep-th/0209174)
55. Agostini A, Amelino-Camelia G and D'Andrea F 2003 Preprint hep-th/0306013
56. Sitarz A 1995 Phys. Lett. B 349 42 (Preprint hep-th/9409014)
57. Gonera C, Kosinski P and Maslanka P 1996 Preprint q-alg/9602007
58. Lukierski J, Nowicki A and Ruegg H 1992 Phys. Lett. B 293 344
59. Agostini A 2003 PhD Thesis University of Naples 'Federico II'
60. Majid S and Oeckl R 1998 Preprint math.QA/9811054
61. Nowicki A, Sorace E and Tarlini M 1993 Phys. Lett. B 302 419 (Preprint hep-th/9212065)
62. Amelino-Camelia G 2002 Int. J. Mod. Phys. D 11 1643 (Preprint gr-qc/0210063)
63. Bibikov P N 1998 J. Phys. A: Math. Gen. 31 6437 (Preprint q-alg/9710019)
64. Kosinski P, Maslanka P, Lujierski J and Sitarz A 1998 Czech J. Phys. 48 11
65. Kosinski P, Maslanka P and Lujierski J 2001 Preprint hep-th/0103127