U(1) gauge field theory on κ-Minkowski space

Journal of High Energy Physics

Volumn , Issue 9, 2005, Pages

  Dimitrijević, Marija ^a,b,c   Jonke, Larisa ^d   Möller, Lutz ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

^b UNIVERSITY OF MUNICH   (Germany)

^c UNIVERSITY OF BELGRADE   (Serbia)

^d RUDER BO KOVI INSTITUTE   (Croatia)

Author keywords

Gauge Symmetry; Non Commutative Geometry

Indexed keywords

EID: 26044460516     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/09/068     Document Type: Article

References (23)

1. M. Dimitrijević et al., Deformed field theory on kappa-spacetime 2003 Eur. Phys. J. C 31 129 [hep-th/0307149]
2. M. Dimitrijević, F. Meyer, L. Möller and J. Wess, Gauge theories on the kappa-Minkowski spacetime 2004 Eur. Phys. J. C 36 117 [hep-th/0310116]
3. E. Abe, Hopf algebras (Cambridge University Press), 1980
4. B. Jurco, S. Schraml, P. Schupp and J. Wess, Enveloping algebra valued gauge transformations for non- abelian gauge groups on non-commutative spaces 2000 Eur. Phys. J. C 17 521 [hep-th/0006246]
5. V. Kathotia, Kontsevich's universal formula for deformation quantization and the Campbell-Baker-Hausdorff formula, I UC Davis Math 1998-16 [math.qa/9811174]
6. J. Wess and B. Zumino, Covariant differential calculus on the quantum hyperplane 1991 Nucl. Phys. (Proc. Suppl.) 18 3002
7. J. Wess, q-Deformed Heisenberg algebras lecture given at 38-Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, [math.ph/9910013]
8. M. Dimitrijević, L. Möller and E. Tsouchnika, Derivatives, forms and vector fields on the kappa-deformed euclidean space 2004 J. Phys. A: Math. Gen. 37 9749 [hep-th/0404224]
9. J. Lukierski, H. Ruegg, A. Nowicki and V.N. Tolstoi, Q deformation of Poincaré algebra 1991 Phys. Lett. B 264 331
10. J. Lukierski, A. Nowicki and H. Ruegg, New quantum Poincaré algebra and k deformed field theory 1992 Phys. Lett. B 293 344
11. J. Kowalski-Glikman and S. Nowak, Doubly special relativity theories as different bases of kappa-Poincaré algebra 2002 Phys. Lett. B 539 126 [hep-th/0203040]
12. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
13. L. Möller, A symmetry invariant integral on kappa-deformed spacetime [hep-th/0409128]
14. A. Agostini, G. Amelino-Camelia, M. Arzano and F. D'Andrea, Action functional for kappa-Minkowski noncommutative spacetime [hep-th/0407227]
15. q(2)-covariant plane 2004 Int. J. Mod. Phys. A 19 3349 [hep-th/0309053]
16. G. Barnich, F. Brandt and M. Grigoriev, Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups 2002 J. High Energy Phys. JHEP08(2002)023 [hep-th/0206003]
17. L. Möller, Second order of the expansions of action functionals of the noncommutative standard model 2004 J. High Energy Phys. JHEP10(2004)063 [hep-th/0409085]
18. A. Bichl et al., Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map 2001 J. High Energy Phys. JHEP06(2001)013 [hep-th/0104097]
19. R. Wulkenhaar, Non-renormalizability of theta-expanded noncommutative QED 2002 J. High Energy Phys. JHEP03(2002)024 [hep-th/0112248]
20. L. Möller, Noncommutative gauge theory and κ-deformed spacetime PhD thesis at the Munich University 2004, preprint MPP-2004-57
21. B. Jurco, L. Möller, S. Schraml, P. Schupp and J. Wess, Construction of non-abelian gauge theories on noncommutative spaces 2001 Eur. Phys. J. C 21 383 [hep-th/0104153]
22. M. Dimitrijević and J. Wess, Deformed bialgebra of diffeomorphisms [hep-th/0411224]
23. P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp and J. Wess, A gravity theory on noncommutative spaces 2005 Class. Quantum Grav. 22 3511 [hep-th/0504183]