Curved momentum space and relative locality

International Journal of Geometric Methods in Modern Physics

Volumn 9, Issue 6, 2012, Pages

  Kowalski Glikman, Jerzy ^a  

^a UNIVERSITY OF WROC AW   (Poland)

Author keywords

deformation of particle kinematics; Quantum gravity

Indexed keywords

EID: 84864654185     PISSN: 02198878     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219887812610087     Document Type: Conference Paper

References (16)

1. J. Milnor, Hyperbolic geometry: The first 150 years, Bull. Amer. Math. Soc. 6 (1982) 9.
2. F. Girelli and E. R. Livine, Special relativity as a non-commutative geometry: Lessons for deformed special relativity, Phys. Rev. D 81 (2010) 085041, gr-qc/0407098.
3. G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman and L. Smolin, The principle of relative locality, Phys. Rev. D 84 (2011) 084010, arXiv: 1101.0931 [hep-th].
4. G. Amelino-Camelia, L. Freidel, J. Kowalski-Glikman and L. Smolin, Relative locality: A deepening of the relativity principle, Gen. Relat. Grav. 43 (2011) 2547
5. Int. J. Mod. Phys. D 20 (2011) 2867], arXiv: 1106.0313 [hep-th].
6. E. Witten, (2 + 1)-dimensional gravity as an exactly soluble system, Nucl. Phys. B 311 (1988) 46.
7. H.-J. Matschull and M. Welling, Quantum mechanics of a point particle in (2 + 1)-dimensional gravity, Class. Quantum Grav. 15 (1998) 2981, gr-qc/9708054.
8. C. Meusburger and B. J. Schroers, Poisson structure and symmetry in the Chern-Simons formulation of (2 + 1)-dimensional gravity, Class. Quantum Grav. 20 (2003) 2193, gr-qc/0301108.
9. L. Freidel and E. R. Livine, Effective 3-D quantum gravity and non-commutative quantum field theory, Phys. Rev. Lett. 96 (2006) 221301, hep-th/0512113.
10. F. Girelli, E. R. Livine and D. Oriti, Deformed special relativity as an effective flat limit of quantum gravity, Nucl. Phys. B 708 (2005) 411, gr-qc/0406100.
11. G. 't Hooft, Graviton dominance in ultrahigh-energy scattering, Phys. Lett. B 198 (1987) 61.
12. H. L. Verlinde and E. P. Verlinde, Scattering at Planckian energies, Nucl. Phys. B 371 (1992) 246, hep-th/9110017.
13. L. Freidel and L. Smolin, Gamma ray burst delay times probe the geometry of momentum space, preprint (2011), arXiv: 1103.5626 [hep-th].
14. J. Milnor, Curvatures of left invariant metrics on lie groups, Adv. Math. 21 (1976) 293.
15. G. Gubitosi and F. Mercati, Relative locality in κ-Poincaŕe, preprint (2011), arXiv: 1106.5710 [gr-qc].
16. G. Amelino-Camelia, M. Arzano, J. Kowalski-Glikman, G. Rosati and G. Trevisan, Relative-locality distant observers and the phenomenology of momentum-space geometry, Class. Quantum Grav. 29 (2012) 075007, arXiv: 1107.1724 [hep-th].