On κ-deformation and UV/IR mixing

Nuclear Physics B

Volumn 748, Issue 3, 2006, Pages 473-484

  Grosse, Harald ^a   Wohlgenannt, Michael ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Kappa deformation; Non commutative geometry; Non perturbative effects; UV IR mixing

Indexed keywords

EID: 33745418302     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.05.004     Document Type: Article

References (19)

1. Filk T. Divergencies in a field theory on quantum space. Phys. Lett. B 376 (1996) 53-58
2. Denk S., and Schweda M. Time ordered perturbation theory for non-local interactions: Applications to NCQFT. JHEP 0309 (2003) 032. hep-th/0306101
3. Minwalla S., Van Raamsdonk M., and Seiberg N. Noncommutative perturbative dynamics. JHEP 0002 (2000) 020. hep-th/9912072
4. 2 in the matrix base. JHEP 0312 (2003) 019. hep-th/0307017
5. 4 in the matrix base. Commun. Math. Phys. 256 (2005) 305-374. hep-th/0401128
6. Lukierski J., Ruegg H., Nowicki A., and Tolstoi V.N. q-deformation of Poincaré algebra. Phys. Lett. B 264 (1991) 331-338
7. Majid S., and Ruegg H. Bicrossproduct structure of κ-Poincaré group and noncommutative geometry. Phys. Lett. B 334 (1994) 348-354. hep-th/9405107
8. Dimitrijević M., Jonke L., Möller L., Tsouchnika E., Wess J., and Wohlgenannt M. Deformed field theory on κ-spacetime. Eur. Phys. J. C 31 (2003) 129-138. hep-th/0307149
9. Dimitrijević M., Jonke L., Möller L., Tsouchnika E., Wess J., and Wohlgenannt M. Field theory on κ-spacetime. Czech. J. Phys. 54 (2004) 1243-1248. hep-th/0407187
10. Dimitrijević M., Möller L., and Tsouchnika E. Derivatives, forms and vector fields on the κ-deformed Euclidean space. J. Phys. A 37 (2004) 9749-9770. hep-th/0404224
11. Jurčo B., Schupp P., and Wess J. Nonabelian noncommutative gauge theory via noncommutative extra dimensions. Nucl. Phys. B 604 (2001) 148-180. hep-th/0102129
12. Kosiński P., Lukierski J., and Maślanka P. Local D = 4 field theory on κ-deformed Minkowski space. Phys. Rev. D 62 (2000) 025004. hep-th/9902037
13. Amelino-Camelia G., and Arzano M. Coproduct and star product in field theories on Lie-algebra non-commutative space-times. Phys. Rev. D 65 (2002) 084044. hep-th/0105120
14. Amelino-Camelia G., Arzano M., and Doplicher L. Field theories on canonical and Lie-algebra noncommutative spacetimes. hep-th/0205047
15. Daszkiewicz M., Imilkowska K., Kowalski-Glikman J., and Nowak S. Scalar field theory on κ-Minkowski space-time and doubly special relativity. hep-th/0410058
16. Nowak S. Lorentz invariance of scalar field action on κ-Minkowski space-time. hep-th/0501017
17. Möller L. A symmetry invariant integral on κ-deformed spacetime. hep-th/0409128
18. Agostini A., Amelino-Camelia G., Arzano M., and D'Andrea F. Action functional for κ-Minkowski noncommutative spacetime. hep-th/0407227
19. Robbins D., and Sethi S. The UV/IR interplay in theories with space-time varying non-commutativity. JHEP 0307 (2003) 034. hep-th/0306193