Derivatives, forms and vector fields on the κ-deformed Euclidean space

Journal of Physics A: Mathematical and General

Volumn 37, Issue 41, 2004, Pages 9749-9770

  Dimitrijević, Marija ^a,b,c   Möller, Lutz ^a,b   Tsouchnika, Efrossini ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^c UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7544233798     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/41/010     Document Type: Article

References (19)

1. Lukierski J, Nowicki A, Ruegg H and Tolstoy V N 1991 Q-deformation of Poincaré algebra Phys. Lett. B 264 331
2. Lukierski J, Nowicki A and Ruegg H 1992 New quantum Poincaré algebra and κ-deformed field theory Phys. Lett. B 293 344
3. Dimitrijević M, Jonke L, Möller L, Tsouchnika E, Wess J and Wohlgenannt M 2003 Deformed field theory on κ-spacetime Eur. Phys. J. C 31 129 (Preprint hep-th/0307149)
4. Amelino-Camelia G 2001 Testable scenario for relativity with minimum-length Phys. Lett. B 510 255 (Preprint hep-th/0012238)
5. Lukierski J 2004 Relation between quantum κ-Poincaré framework and Doubly Special Relativity Preprint hep-th/0402117
6. Kosiński P and Maślanka P 1994 The duality between κ-Poincaré algebra and κ-Poincaré group Preprint hep-th/9411033
7. Majid S and Ruegg H 1994 Bicrossproduct structure of κ- Poincaré group and noncommutative geometry Phys. Lett. B 334 348 (Preprint hep-th/9405107)
8. Dimitrijević M, Meyer F, Möller L and Wess J 2004 Gauge theories on the κ-Minkowski spacetime Eur. Phys. J. C36 117-26 (Preprint hep-th/0310116)
9. Kosiński K, Lukierski J and Maślanka P 2000 Local D = 4 field theory on κ-Minkowski space Phys. Rev. D 62 025004 (Preprint hep-th/9902037)
10. Amelino-Camelia G, D'Andrea F and Mandanici G 2002 Group velocity in noncommutative spacetime (Preprint hep-th/0211022)
11. Madore J, Schraml S, Schupp P and Wess J 2000 Gauge theory on noncommutative spaces Eur. Phys. J. C 16 161 (Preprint hep-th/0001203)
12. Lukierski J and Ruegg H 1994 Quantum κ-Poincaré in any dimension Phys. Lett. B 329 189 (Preprint hep-th/9310117)
13. Kosiński P, Lukierski J, Maślanka P and Sitarz A 2003 Generalised κ-deformations and deformed relativistic scalar fields on noncommutative Minkowski space Preprint hep-th/0307038
14. Sitarz A 1995 Noncommutative differential calculus on the κ-Minkowski space Phys. Lett. B 349 42 (Preprint hep-th/9409014)
15. Nowicki A, Sorace E and Tarlini M 1993 The quantum deformed Dirac equation from the κ-Poincaré algebra Phys. Lett. B 302 419-22 (Preprint hep-th/9212065)
16. Kosiński P, Lukierski J, Maślanka P and Sobczyk J 1995 The classical basis for κ-deformed Poincaré (super) algebra and the second κ-deformed supersymmetric Casimir Mod. Phys. Lett. A 10 2599 (Preprint hep-th/94121141
17. Kosiński K, Lukierski J and Maślanka P 2000 Local field theory on κ-Minkowski space, *-products and noncommutative translations Czech. J. Phys. 50 1283 (Preprint hep-th/0009120)
18. Agostini A, Lizzi F and Zampini A 2002 Generalised Weyl-systems and κ-Minkowski space Mod. Phys. Lett. A 17 2105 (Preprint hep-th/0209174)
19. Kathotia V 1998 Kontsevich's universal formula for deformation quantisation and the Campbell-Baker-Hausdorff formula, UC Davis Math. 1998-16 (Preprint math.qa/9811174)