A deformed Poincaré invariance for group field theories

Classical and Quantum Gravity

Volumn 27, Issue 24, 2010, Pages

  Girelli, Florian ^a   Livine, Etera R ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649871706     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/24/245018     Document Type: Article

References (25)

1. Baez J C 1998 Spin foam models Class. Quantum Grav. 15 1827-58
2. Reisenberger M P and Rovelli C 1997 'Sum over surfaces' form of loop quantum gravity Phys. Rev. D 56 3490-508
3. Rovelli C 1993 The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis Phys. Rev. D 48 2702-07
4. Markopoulou F 1997 Dual formulation of spin network evolution arXiv:gr-qc/9704013
5. Freidel L 2005 Group field theory: an overview Int. J. Theor. Phys. 44 1769-83
6. Boulatov D 1992 A model of three-dimensional lattice gravity Mod. Phys. Lett. A 7 1629-46
7. Ooguri H 1992 Topological lattice models in four dimensions Mod. Phys. Lett. A 7 2799-810
8. Pietri R De, Freidel L, Krasnov K and Rovelli C 2000 Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space Nucl. Phys. B 574 785-806
9. Reisenberger M P and Rovelli C 2001 Spacetime as a Feynman diagram: the connection formulation Class. Quantum Grav. 18 121-40
10. Freidel L and LouapreD2003 Non-perturbative summation over 3Ddiscrete topologies Phys. Rev.D 68 104004
11. Freidel L, Gurau R and Oriti D 2009 Group field theory renormalization-the 3D case: power counting of divergences Phys. Rev. D 80 044007
12. Magnen J, Noui K, Rivasseau V and SmerlakM2009 Scaling behaviour of three-dimensional group field theory Class. Quantum Grav. 26 185012
13. Gurau R 2010 Topological graph polynomials in colored group field theory Ann. Henri Poincaré 11 565-84
14. Geloun J B, Magnen J and Rivasseau V 2009 Bosonic colored group field theory arXiv:0911.1719
15. Freidel L and Livine E R 2006 Ponzano-Regge model revisited: III. Feynman diagrams and effective field theory Class. Quantum Grav. 23 2021-62
16. Freidel L and Livine E R 2006 3D quantum gravity and effective non-commutative quantum field theory Phys. Rev. Lett. 96 221301
17. Freidel L and Majid S 2008 Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity Class. Quantum Grav. 25 045006
18. Joung E, Mourad J and Noui K 2009 Three-dimensional quantum geometry and deformed Poincare symmetry J. Math. Phys. 50 052503
19. 3 Class. Quantum Grav. 26 195014
20. Fairbairn W and Livine E R 2007 3D spinfoam quantum gravity: matter as a phase of the group field theory Class. Quantum Grav. 24 5277-97
21. Freidel L and Louapre D 2004 Ponzano-Regge model revisited: II. Equivalence with Chern-Simons arXiv:gr-qc/0410141
22. Girelli F, Livine E R and Oriti D 2009 4D deformed special relativity from group field theories arXiv:0903.3475
23. Livine E R and Ryan J P 2009 A note on B-observables in Ponzano-Regge 3D quantum gravity Class. Quantum Grav. 26 035013
24. Freidel L and Louapre D 2004 Ponzano-Regge model revisited: I. Gauge fixing, observables and interacting spinning particles Class. Quantum Grav. 21 5685-726
25. Oriti D and Tlas T 2010 Encoding simplicial quantum geometry in group field theories Class. Quantum Grav. 27 135018