Emergent matter from 3D generalized group field theories

Classical and Quantum Gravity

Volumn 27, Issue 14, 2010, Pages

  Di Mare, Alessandro ^a   Oriti, Daniele ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953107044     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/14/145006     Document Type: Article

References (39)

1. Oriti D (ed) 2009 Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter (Cambridge: Cambridge University Press)
2. Oriti D 2009 The group field theory approach to quantum gravity Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter (Cambridge: Cambridge University Press) (arXiv:gr-qc/0607032)
3. Oriti D 2006 Quantum gravity as a quantum field theory of simplicial geometry Quantum Gravity ed B Fauser, J Tolksdorf and E Zeidler (Basel: Birkhauser) arXiv:gr-qc/0512103
4. Freidel L 2005 Group field theory: an overview Int. J. Theor. Phys. 44 1769 (arXiv:hep-th/0505016)
5. Giddings S B and Strominger A 1989 Baby universe, third quantization and the cosmological constant Nucl. Phys. B 321 481-508
6. Freidel L, Gurau R and Oriti D 2009 Group field theory renormalization-the 3d case. Power counting of divergences Phys. Rev. D 80 044007 (arXiv:0905.3772 [hep-th])
7. Magnen J, Noui K, Rivasseau V and Smerlak M 2009 Scaling behaviour of three-dimensional group field theory Class. Quantum Grav. 26 185012 (arXiv:0906.5477 [hep-th])
8. Gurau R 2009 Colored group field theory arXiv:0907.2582 [hep-th]
9. Ben-Geloun J, Magnen J and Rivasseau V 2009 Bosonic colored group field theory arXiv:0911.1719 [hep-th]
10. Thiemann T 2007 Modern Canonical Quantum General Relativity (Cambridge: Cambridge University Press)
11. Rovelli C 2006 Quantum Gravity (Cambridge: Cambridge University Press)
12. Freidel L and Louapre D 2004 Ponzano-Regge model revisited: I. Gauge fixing, observables and interacting spinning particles Class. Quantum Grav. 21 5685 (arXiv:hep-th/0401076)
13. Freidel L and Livine E 2006 Ponzano-Regge model revisited: III. Feynman diagrams and effective field theory Class. Quantum Grav. 23 2021 (arXiv:hep-th/0502106)
14. Oriti D and Tlas T 2006 Causality and matter propagation in 3-d spin foam quantum gravity Phys. Rev. D 74 104021 (arXiv:gr-qc/0608116)
15. Oriti D and Pfeiffer H 2002 A spin foam model for pure gauge theory coupled to quantum gravity Phys. Rev. D 66 124010 (arXiv:gr-qc/0207041)
16. Speziale S 2007 Coupling gauge theory to spinfoam 3d quantum gravity Class. Quantum Grav. 24 5139 (arXiv:0706.1534 [gr-qc])
17. Hamber H 2007 Discrete and continuum quantum gravity arXiv:0704.2895 [hep-th]
18. Loll R 1998 Discrete approaches to quantum gravity in four dimensions Living Rev. Rel. 1 13 (arXiv:gr-qc/9805049)
19. Freidel L, Oriti D and Ryan J 2005 A group field theory for 3-D quantum gravity coupled to a scalar field arXiv:gr-qc/0506067
20. Oriti D and Ryan J 2006 Group field theory formulation of 3-d quantum gravity coupled to matter fields Class. Quantum Grav. 23 6543 (arXiv:gr-qc/0602010)
21. Dowdall R 2009 Wilson loops, geometric operators and fermions in 3d group field theory arXiv:0911.2391 [gr-qc]
22. Bilson-Thompson S, Markopoulou F and Smolin L 2007 Quantum gravity and the standard model Class. Quantum Grav. 24 3975 (arXiv:hep-th/0603022)
23. He S and Wan Y 2008 Conserved quantities and the algebra of Braid excitations in quantum gravity Nucl. Phys. B 804 286 (arXiv:0805.0453 [hep-th])
24. Markopoulou F and Premont-Schwarz I 2008 Conserved topological defects in non-embedded graphs in quantum gravity Class. Quantum Grav. 25 205015 (arXiv:0805.3175 [gr-qc])
25. Kribs D and Markopoulou F 2005 Geometry from quantum particles arXiv:gr-qc/0510052
26. Fairbairn W J and Livine E R 2007 3d spinfoam quantum gravity: matter as a phase of the group field theory Class. Quantum Grav. 24 5277-97 (arXiv:gr-qc/0702125)
27. Girelli F, Livine E and Oriti D 2010 4d deformed special relativity from group field theories Phys. Rev. D 81 024015 (arXiv:0903.3475 [gr-qc])
28. Oriti D 2009 Emergent non-commutative matter fields from group field theory models of quantum spacetime J. Phys. Conf. Ser. 174 012047 (arXiv:0903.3970 [hep-th])
29. Szabo R J 2003 Quantum field theory on noncommutative spaces Phys. Rep. 378 207
30. Majid S 1995 Foundations of Quantum Group Theory (Cambridge: Cambridge University Press)
31. Camelia G A 2002 Quantum gravity phenomenology: status and prospectus Mod. Phys. Lett. A 17 899
32. Camelia G A 2002 Doubly special relativity Nature 418 34-5 (arXiv:gr-qc/0207049)
33. Oriti D and Tlas T 2008 A new class of group field theories for 1st order discrete quantum gravity Class. Quantum Grav. 25 085011
34. Oriti D 2009 Group field theory and simplicial quantum gravity arXiv:0902.3903 [gr-qc]
35. Oriti D and Tlas T 2009 Encoding simplicial quantum geometry in group field theories arXiv:0912.1546 [gr-qc]
36. Livine E 2009 Matrix models as non-commutative field theories on Class. Quantum Grav. 26 195014 (arXiv:0811.1462 [gr-qc])
37. 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 (arXiv:hep-th/0601004)
38. Joung E, Mourad J and Noui K 2009 Three dimensional quantum geometry and deformed Poincaré symmetry J. Math. Phys. 50 052503 (arXiv:0806.4121 [hep-th])
39. Baratin A and Oriti D 2010 A non-commutative representation for group field theories and simplicial quantum gravity arXiv:1002.4723 [hep-th]