The Spin Foam Approach to Quantum Gravity, Living Rev, Rel, vol.16, issue.3, 1205. ,
Covariant Loop Quantum Gravity. Cambridge Monographs on Mathematical Physics, 2014. ,
DOI : 10.1017/cbo9781107706910
URL : https://hal.archives-ouvertes.fr/hal-01258362
LQG vertex with finite Immirzi parameter, Nuclear Physics B, vol.799, issue.1-2, pp.136-149, 2008. ,
DOI : 10.1016/j.nuclphysb.2008.02.018
URL : https://hal.archives-ouvertes.fr/hal-00263606
Loop-Quantum-Gravity Vertex Amplitude, Physical Review Letters, vol.3, issue.16, pp.161301-0705, 2007. ,
DOI : 10.4310/ATMP.1999.v3.n4.a3
URL : https://hal.archives-ouvertes.fr/hal-00166829
New spinfoam vertex for quantum gravity, Physical Review D, vol.2, issue.8, pp.84028-0705, 2007. ,
DOI : 10.1007/978-3-642-61629-7
URL : https://hal.archives-ouvertes.fr/hal-00517428
Solving the simplicity constraints for spinfoam quantum gravity, EPL (Europhysics Letters), vol.81, issue.5, pp.50004-0708, 1915. ,
DOI : 10.1209/0295-5075/81/50004
URL : https://hal.archives-ouvertes.fr/hal-00517425
A new spin foam model for 4D gravity, Classical and Quantum Gravity, vol.25, issue.12, pp.125018-0708, 2008. ,
DOI : 10.1088/0264-9381/25/12/125018
URL : http://arxiv.org/pdf/0708.1595
Asymptotic analysis of the Engle???Pereira???Rovelli???Livine four-simplex amplitude, Journal of Mathematical Physics, vol.50, issue.11, p.112504, 2009. ,
DOI : 10.1088/0264-9381/25/8/085013
Lorentzian spin foam amplitudes: graphical calculus and asymptotics, Classical and Quantum Gravity, vol.27, issue.16, p.165009, 2010. ,
DOI : 10.1088/0264-9381/27/16/165009
URL : https://hal.archives-ouvertes.fr/hal-00421823
Spin-foams for all loop quantum gravity, Classical and Quantum Gravity, vol.27, issue.9, pp.95006-0909, 2010. ,
DOI : 10.1088/0264-9381/27/9/095006
Generalized spinfoams, Physical Review D, vol.44, issue.12, pp.83-124020, 2011. ,
DOI : 10.1088/0264-9381/27/18/185009
URL : https://hal.archives-ouvertes.fr/hal-00534768
Discretizing parametrized systems: the magic of Ditt-invariance, 1107, 2310. ,
Decorated tensor network renormalization for lattice gauge theories and spin foam models, New Journal of Physics, vol.18, issue.5, p.53009, 1409. ,
DOI : 10.1088/1367-2630/18/5/053009
URL : http://iopscience.iop.org/article/10.1088/1367-2630/18/5/053009/pdf
The continuum limit of loop quantum gravity -a framework for solving the theory, 1409, 1450. ,
Investigation of the spinfoam path integral with quantum cuboid intertwiners, Physical Review D, vol.1444, issue.10, p.104029, 2016. ,
DOI : 10.1088/0264-9381/32/19/195015
Random tensor models in the large N limit: Uncoloring the colored tensor models, Phys. Rev, vol.3637, pp.85-084037, 1202. ,
URL : https://hal.archives-ouvertes.fr/hal-00816588
Phase transition in dually weighted colored tensor models, Nuclear Physics B, vol.855, issue.2, pp.855-420, 2012. ,
DOI : 10.1016/j.nuclphysb.2011.10.015
URL : http://hdl.handle.net/11858/00-001M-0000-0012-17B9-E
Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions, Communications in Mathematical Physics, vol.9, issue.1, pp.581-637, 1303. ,
DOI : 10.1515/9781400862085
Functional Renormalisation Group analysis of Tensorial Group Field Theories on R d, Phys. Rev, vol.94, issue.208211, p.24017, 1601. ,
Realistic Observable in Background-Free Quantum Gravity: the Planck-Star Tunnelling-Time, pp.1605-05268 ,
URL : https://hal.archives-ouvertes.fr/hal-01476559
Linear representations of the Lorentz group, 1964. ,
DOI : 10.1090/trans2/006/04
) Principal???Series Representations, Journal of Mathematical Physics, vol.6, issue.3, pp.11-1050, 1970. ,
DOI : 10.1103/PhysRev.159.1387
Recursion and Symmetry Relations for the Clebsch???Gordan Coefficients of the Homogeneous Lorentz Group, Journal of Mathematical Physics, vol.10, issue.3, pp.11-1059, 1970. ,
DOI : 10.1103/PhysRev.164.1981
Clebsch-Gordan Coefficients of the SL, Rept. Math. Phys, vol.2, issue.13, pp.315-326, 1978. ,
Clebsch-Gordan coefficients of the Lorentz group, Theoretical and Mathematical Physics, vol.9, issue.3, p.1351, 1975. ,
DOI : 10.1007/BF01042429
Asymptotic of Lorentzian Polyhedra Propagator, 1307, p.4747 ,
Lorentz covariance of loop quantum gravity, Physical Review D, vol.7, issue.10, pp.83-104029, 2011. ,
DOI : 10.1103/PhysRevLett.102.091301
URL : https://hal.archives-ouvertes.fr/hal-00549648
Twisted geometries, twistors, and conformal transformations, Physical Review D, vol.87, issue.2, p.24050, 2016. ,
DOI : 10.1017/CBO9780511524486
URL : https://hal.archives-ouvertes.fr/hal-01476641
From lattice BF gauge theory to area???angle Regge calculus, Classical and Quantum Gravity, vol.26, issue.15, pp.155020-0903, 2009. ,
DOI : 10.1088/0264-9381/26/15/155020
URL : https://hal.archives-ouvertes.fr/hal-00421826
Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity, Physical Review D, vol.3, issue.4, pp.85-044003, 1111. ,
DOI : 10.1103/PhysRevD.83.105026
URL : https://hal.archives-ouvertes.fr/hal-00651689
Holomorphic simplicity constraints for 4D spinfoam models, Classical and Quantum Gravity, vol.28, issue.21, pp.215022-1104, 2011. ,
DOI : 10.1088/0264-9381/28/21/215022
URL : http://arxiv.org/pdf/1104.3683
Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory, Classical and Quantum Gravity, vol.30, issue.16, pp.165012-1109, 2013. ,
DOI : 10.1088/0264-9381/30/16/165012
URL : https://hal.archives-ouvertes.fr/hal-00964104
Holonomy spin foam models: asymptotic geometry of the partition function, Journal of High Energy Physics, vol.94, issue.10, pp.165-1307, 2013. ,
DOI : 10.2307/2373753
Linking covariant and canonical LQG II: spin foam projector, Classical and Quantum Gravity, vol.31, issue.12, p.125008, 1307. ,
DOI : 10.1088/0264-9381/31/12/125008
URL : http://arxiv.org/pdf/1307.5885
Operator spin foam models, Classical and Quantum Gravity, vol.28, issue.10, p.105003, 1010. ,
DOI : 10.1088/0264-9381/28/10/105003
URL : https://hal.archives-ouvertes.fr/hal-00699368
The Lorentzian proper vertex amplitude: Asymptotics, 1505, p.6683 ,
DOI : 10.1103/physrevd.94.064025
URL : http://arxiv.org/pdf/1505.06683
A new action for simplicial gravity in four dimensions, Classical and Quantum Gravity, vol.32, issue.1, p.15016, 2015. ,
DOI : 10.1088/0264-9381/32/1/015016
Twisted geometries: A geometric parametrization of SU(2) phase space, Physical Review D, vol.44, issue.8, p.84040, 1001. ,
DOI : 10.1088/0264-9381/11/4/015
Twistorial structure of loop-gravity transition amplitudes, Physical Review D, vol.6, issue.12, pp.124023-1207, 2012. ,
DOI : 10.1088/0264-9381/28/21/215022
URL : https://hal.archives-ouvertes.fr/hal-00730421
Four-dimensional quantum gravity with a cosmological constant from three-dimensional holomorphic blocks, Physics Letters B, vol.752, pp.752-258, 2016. ,
DOI : 10.1016/j.physletb.2015.11.058
URL : https://doi.org/10.1016/j.physletb.2015.11.058
Integrability for relativistic spin networks, Classical and Quantum Gravity, vol.18, issue.21, pp.4683-4700, 2001. ,
DOI : 10.1088/0264-9381/18/21/316
URL : http://arxiv.org/pdf/gr-qc/0101107
All 3-edge-connected relativistic BC and EPRL spin-networks are integrable, pp.1010-5384 ,
A Lorentzian signature model for quantum general relativity, Classical and Quantum Gravity, vol.17, issue.16, pp.3101-3118, 2000. ,
DOI : 10.1088/0264-9381/17/16/302
URL : http://arxiv.org/pdf/gr-qc/9904025v2.pdf
Spin Networks to Projected Spin Networks, Phys.Rev, vol.824093, issue.2, p.64044, 1008. ,
DOI : 10.1103/physrevd.82.064044
URL : https://hal.archives-ouvertes.fr/hal-00517373
A Lattice world sheet sum for 4-d Euclidean general relativity, gr-qc, 9711052. ,
Projected spin networks for Lorentz connection: linking spin foams and loop gravity, Classical and Quantum Gravity, vol.19, issue.21, pp.5525-5542, 2002. ,
DOI : 10.1088/0264-9381/19/21/316
URL : http://arxiv.org/pdf/gr-qc/0207084v1.pdf
On the matrix elements of a unitary representation of the homogeneous lorentz group, Arkiv f, Fysik, vol.29, pp.467-483, 1965. ,
?? ???????????? ?????????????????? ?????????????????????????? ????????????SL (2,C), Acta Physica Academiae Scientiarum Hungaricae, vol.30, issue.1-4, pp.201-219, 1967. ,
DOI : 10.1007/BF03159474
Boost matrix elements of the homogeneous Lorentz group, Journal of Mathematical Physics, vol.13, issue.7, pp.1514-1519, 1979. ,
DOI : 10.1063/1.523487
Clebsch-Gordan coefficients for SL(2, C), Theoretical and Mathematical Physics, pp.342-351, 1972. ,
DOI : 10.1007/BF01036788
Complete LQG propagator: Difficulties with the Barrett-Crane vertex, Physical Review D, vol.3, issue.10, pp.104012-0708, 2007. ,
DOI : 10.1088/0264-9381/14/1/009
URL : https://hal.archives-ouvertes.fr/hal-00166827
A spin foam model for general Lorentzian 4-geometries, Classical and Quantum Gravity, vol.27, issue.18, p.185011, 1002. ,
DOI : 10.1088/0264-9381/27/18/185011
URL : http://arxiv.org/pdf/1002.1959
Null twisted geometries, Physical Review D, vol.4, issue.8, pp.89-084070, 2014. ,
DOI : 10.1063/1.531210
URL : https://hal.archives-ouvertes.fr/hal-00990213
Quantum Theory of Angular Momentum: Irreducible Tensors, Spherical Harmonics, Vector Coupling Coefficients, 3nj Symbols, World Scientific, 1988. ,
DOI : 10.1142/0270
Generating functions for coherent intertwiners, Classical and Quantum Gravity, vol.30, issue.5, pp.55018-1205, 2013. ,
DOI : 10.1088/0264-9381/30/5/055018
URL : http://arxiv.org/pdf/1205.5677
Coherent 3j-symbol representation for the loop quantum gravity intertwiner space, pp.1606-06561 ,
Asymptotics of SL(2,C) Clebsch-Gordan coefficients ,
Polyhedra in loop quantum gravity, Physical Review D, vol.1, issue.4, pp.44035-1009, 2011. ,
DOI : 10.1016/j.nuclphysb.2008.02.018
URL : https://hal.archives-ouvertes.fr/hal-00522213
Self-energy and vertex radiative corrections in LQG, Physics Letters B, vol.682, issue.1, pp.78-84, 2009. ,
DOI : 10.1016/j.physletb.2009.10.076
URL : https://hal.archives-ouvertes.fr/hal-00350516
Self-energy of the Lorentzian Engle-Pereira-Rovelli-Livine and Freidel-Krasnov model of quantum gravity, Physical Review D, vol.8, issue.2, p.24011, 1302. ,
DOI : 10.1103/PhysRevD.82.064044
Holomorphic Lorentzian simplicity constraints, Journal of Mathematical Physics, vol.53, issue.3, p.32502, 1107. ,
DOI : 10.1103/PhysRevD.83.104029
URL : https://hal.archives-ouvertes.fr/hal-00611822
Pachner moves in a 4D Riemannian holomorphic spin foam model, Physical Review D, vol.2, issue.12, p.124014, 1412. ,
DOI : 10.1088/0264-9381/30/5/055009
Spin foams without spins, Classical and Quantum Gravity, vol.33, issue.20, pp.1508-01416 ,
DOI : 10.1088/0264-9381/33/20/205003
URL : http://arxiv.org/pdf/1508.01416