Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Group field theories whose Feynman diagrams describe 3d gravity with a varying configuration of Wilson loop observables and 3d gravity with volume observables at each vertex are defined. The volume observables are created by the usual spin network grasping operators which require the introduction of vector fields on the group. We then use this to define group field theories that give a previously defined spin foam model for fermion fields coupled to gravity, and the simpler “quenched” approximation, by using tensor fields on the group. The group field theory naturally includes the sum over fermionic loops at each order of the perturbation theory.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
1043-1056
Opis fizyczny
Daty
wydano
2011-08-01
online
2011-04-30
Twórcy
autor
- University of Nottingham, Nottingham, UK, pmxrd1@maths.nottingham.ac.uk
Bibliografia
- [1] C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, 2004) http://dx.doi.org/10.1017/CBO9780511755804[Crossref]
- [2] D. Oriti, arXiv:gr-qc/0607032 [WoS]
- [3] L. Freidel, Int. J. Theor. Phys. 44, 1769 (2005) http://dx.doi.org/10.1007/s10773-005-8894-1[Crossref]
- [4] L. Freidel, D. Louapre, Classical Quant. Grav. 21, 5685 (2004) http://dx.doi.org/10.1088/0264-9381/21/24/002[Crossref]
- [5] W.J. Fairbairn, A. Perez, Phys. Rev. D 78, 024013 (2008) http://dx.doi.org/10.1103/PhysRevD.78.024013[Crossref]
- [6] L. Freidel, E.R. Livine, Classical Quant. Grav. 23, 2021 (2006) http://dx.doi.org/10.1088/0264-9381/23/6/012[Crossref]
- [7] D. Oriti, J. Ryan, Classical Quant. Grav. 23, 6543 (2006) http://dx.doi.org/10.1088/0264-9381/23/22/027[Crossref]
- [8] W.J. Fairbairn, E.R. Livine, Classical Quant. Grav. 24, 5277 (2007) http://dx.doi.org/10.1088/0264-9381/24/20/021[Crossref]
- [9] W.J. Fairbairn, Gen. Rel. Gravit. 39, 427 (2007) http://dx.doi.org/10.1007/s10714-006-0395-x[Crossref]
- [10] L. Freidel, D. Louapre, arXiv:gr-qc/0410141 [WoS]
- [11] D.V. Boulatov, Mod. Phys. Lett. A 7, 1629 (1992) http://dx.doi.org/10.1142/S0217732392001324[Crossref]
- [12] L. Freidel, K. Krasnov, Adv. Theor. Math. Phys. 2, 1183 (1999)
- [13] J. Hackett, S. Speziale, Classical Quant. Grav. 24, 1525 (2007) http://dx.doi.org/10.1088/0264-9381/24/6/010[Crossref]
- [14] D. Oriti, T. Tlas, Classical Quant. Grav. 25, 085011 (2008) http://dx.doi.org/10.1088/0264-9381/25/8/085011[Crossref]
- [15] R. Gurau, arXiv:0907.2582v1 [hep-th]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0137-2