Trees, forests and jungles: A botanical garden for cluster expansions, Constructive physics: Results in field theory, statistical mechanics and condensed matter physics, 1995. ,
Tests of quantum gravity from observations of gamma-ray bursts, Nature, vol.393, issue.6687, pp.763-765, 1998. ,
DOI : 10.1038/31647
DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS, International Journal of Modern Physics D, vol.11, issue.10, pp.11-1643, 2002. ,
DOI : 10.1142/S021827180200302X
Canonical Variables for General Relativity, Physical Review, vol.117, issue.6, pp.1595-1602, 1960. ,
DOI : 10.1103/PhysRev.117.1595
New Variables for Classical and Quantum Gravity, Physical Review Letters, vol.57, issue.18, pp.2244-2247, 1986. ,
DOI : 10.1103/PhysRevLett.57.2244
Projective techniques and functional integration for gauge theories, Background independent quantum gravity: A status report, 1995. ,
DOI : 10.1063/1.531037
Quantization of diffeomorphism invariant theories of connections with local degrees of freedom, Journal of Mathematical Physics, vol.36, issue.11, p.30, 1995. ,
DOI : 10.1063/1.531252
The Yang-Mills Equations over Riemann Surfaces, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.308, issue.1505, pp.523-615, 1982. ,
DOI : 10.1098/rsta.1983.0017
Topological quantum field theories, Publications math??matiques de l'IH??S, vol.109, issue.4, pp.175-186, 1989. ,
DOI : 10.1007/BF02698547
An introduction to spin foam models of BF theory and quantum gravity, Lect. Notes Phys, vol.543, pp.25-94, 2000. ,
Quantum tetrahedra and simplicial spin networks, Nuclear Physics B, vol.518, issue.3, pp.714-728, 1998. ,
DOI : 10.1016/S0550-3213(98)00093-5
URL : http://doi.org/10.1016/s0550-3213(98)00093-5
The Quantum Tetrahedron in 3 and 4 Dimensions, Adv. Theor. Math. Phys, vol.3, pp.815-850, 1999. ,
Asymptotic analysis of the EPRL four-simplex amplitude, J. Math. Phys, pp.50-112504, 2009. ,
The Ponzano-Regge model, Class. Quant. Grav, vol.26, p.155014, 2009. ,
Mécanique quantique, Les Editions de l'Ecole polytechnique, 2002. ,
Bosonic colored group field theory, The European Physical Journal C, vol.27, issue.4, pp.1119-1130, 2010. ,
DOI : 10.1140/epjc/s10052-010-1487-z
Poisson Brackets Between Locally Defined Observables in General Relativity, Physical Review Letters, vol.4, issue.8, pp.432-433, 1960. ,
DOI : 10.1103/PhysRevLett.4.432
LQG propagator from the new spin foams, no. Fr 2291, p.28, 2009. ,
DOI : 10.1016/j.nuclphysb.2009.07.016
URL : https://hal.archives-ouvertes.fr/hal-00402065
De lintérieur du monde : pour une philosophie et une science des relations, 2010. ,
-symbols with small and large angular momenta: an elementary method, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.7, 2011. ,
DOI : 10.1088/1751-8113/45/7/075202
URL : https://hal.archives-ouvertes.fr/ineris-00963374
Towards the graviton from spinfoams: The complete perturbative expansion of the 3d toy model, Nuclear Physics B, vol.804, issue.3, pp.507-526, 2008. ,
DOI : 10.1016/j.nuclphysb.2008.05.012
URL : https://hal.archives-ouvertes.fr/hal-00284892
Discrete BF theory, to appear. [29] , Bubble divergences from twisted cohomology, submitted to Comm, Math. Phys, 2010. ,
A Model of three-dimensional lattice gravity, Mod, Phys. Lett, vol.7, pp.1629-1646, 1992. ,
Mayer expansions and the Hamilton-Jacobi equation, Journal of Statistical Physics, vol.39, issue.1-2, p.19, 1987. ,
DOI : 10.1007/BF01010398
Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory, Living Reviews in Relativity, vol.179, issue.2, p.56, 2003. ,
DOI : 10.1103/PhysRev.179.1499
A homology theory for colored graphs, Discrete Mathematics, vol.137, issue.1-3, pp.99-136, 1995. ,
DOI : 10.1016/0012-365X(93)E0146-U
Feynman diagrams of generalized matrix models and the associated manifolds in dimension 4, J. Math. Phys, pp.41-6671, 2000. ,
Coarse graining methods for spin net and spin foam models, New Journal of Physics, vol.14, issue.3, 2011. ,
DOI : 10.1088/1367-2630/14/3/035008
Asymptotic analysis of the Ponzano???Regge model for handlebodies, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.11, pp.43-115203, 2010. ,
DOI : 10.1088/1751-8113/43/11/115203
-symbol further, Physical Review D, vol.80, issue.2, p.24035, 2009. ,
DOI : 10.1103/PhysRevD.80.024035
URL : https://hal.archives-ouvertes.fr/hal-00807181
Divergence of Perturbation Theory in Quantum Electrodynamics, Physical Review, vol.85, issue.4, pp.631-632, 1952. ,
DOI : 10.1103/PhysRev.85.631
Decay properties and Borel summability for the Schwinger functions in P(?) 2 theories, Comm. Math. Phys, pp.39-251, 1975. ,
The Gravitational Equations and the Problem of Motion, The Annals of Mathematics, vol.39, issue.1, pp.455-464, 1938. ,
DOI : 10.2307/1968714
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.99, issue.16, 2007. ,
DOI : 10.1103/PhysRevLett.99.161301
URL : https://hal.archives-ouvertes.fr/hal-00166829
The fundamental solution of the heat equation on a compact
Lie group, Journal of Differential Geometry, vol.18, issue.4, pp.659-668, 1983. ,
DOI : 10.4310/jdg/1214438176
Emptiness and relativity, Meeting at the Roots: Essays on Tibetan Buddhism and the Natural Sciences, 2001. ,
Action Physics, International Journal of Theoretical Physics, vol.38, issue.1, pp.447-455, 1999. ,
DOI : 10.1023/A:1026666114894
Group Field Theory: An Overview, International Journal of Theoretical Physics, vol.141, issue.10, pp.1769-1783, 2005. ,
DOI : 10.1007/s10773-005-8894-1
Group field theory renormalization in the 3D case: Power counting of divergences, Physical Review D, vol.80, issue.4, p.44007, 2009. ,
DOI : 10.1103/PhysRevD.80.044007
A new spin foam model for 4D gravity, Classical and Quantum Gravity, vol.25, issue.12, 2008. ,
DOI : 10.1088/0264-9381/25/12/125018
Diffeomorphisms and spin foam models, Nuclear Physics B, vol.662, issue.1-2, 2002. ,
DOI : 10.1016/S0550-3213(03)00306-7
URL : http://doi.org/10.1016/s0550-3213(03)00306-7
How Does Casimir Energy Fall?, Phys. Rev. D, vol.76, issue.2, p.5, 2007. ,
Linearized group field theory and power-counting theorems, Classical and Quantum Gravity, vol.27, issue.15, p.155012, 2010. ,
DOI : 10.1088/0264-9381/27/15/155012
The symplectic nature of fundamental groups of surfaces, Adv. Math, vol.54, issue.2, pp.200-225, 1984. ,
The Ultraviolet Behavior of Einstein Gravity, Nucl. Phys. B, vol.266, p.709, 1986. ,
Superstring theory, 1987. ,
Power-Counting Theorem for Non-Local Matrix Models and Renormalisation, Renormalisation of phi**4 theory on noncommutative R**4 in the matrix base, pp.35-256, 2003. ,
DOI : 10.1007/s00220-004-1238-9
The 1/N expansion of colored tensor models in arbitrary dimension, EPL (Europhysics Letters), vol.95, issue.5, p.50004, 2011. ,
DOI : 10.1209/0295-5075/95/50004
URL : https://hal.archives-ouvertes.fr/hal-00594189
Lost in translation: topological singularities in group field theory, Classical and Quantum Gravity, vol.27, issue.23, p.235023, 2010. ,
DOI : 10.1088/0264-9381/27/23/235023
Black hole explosions?, Nature, vol.7, issue.5443, pp.30-31, 1974. ,
DOI : 10.1038/248030a0
The large scale structure of space-time, 1973. ,
p-Form electrodynamics, Found. Phys, pp.593-617, 1986. ,
Exactly soluble diffeomorphism invariant theories, Comm. Math. Phys, vol.125, issue.3, p.417, 1989. ,
Emergent/quantum gravity: macro/micro structures of spacetime, Journal of Physics: Conference Series, vol.174, issue.1, p.12015, 2009. ,
DOI : 10.1088/1742-6596/174/1/012015
Thermodynamics of Spacetime: The Einstein Equation of State, Physical Review Letters, vol.75, issue.7, pp.1260-1263, 1995. ,
DOI : 10.1103/PhysRevLett.75.1260
Lorentz violation at high energy: Concepts, phenomena, and astrophysical constraints, Annals of Physics, vol.321, issue.1, p.56, 2005. ,
DOI : 10.1016/j.aop.2005.06.004
URL : http://arxiv.org/abs/astro-ph/0505267
Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity, Europhys. Lett, vol.81, p.50004, 2008. ,
Constructive ?? 4 Field Theory without Tears, Annales Henri Poincar??, vol.9, issue.2, pp.403-424, 2008. ,
DOI : 10.1007/s00023-008-0360-1
URL : https://hal.archives-ouvertes.fr/hal-00165694
Phase space cell expansion and Borel summabilit for the Euclidean ??4 3 theory, Comm. Math. Phys, pp.56-237, 1977. ,
Scaling behavior of three-dimensional group field theory, Classical and Quantum Gravity, vol.26, issue.18, p.185012, 2009. ,
DOI : 10.1088/0264-9381/26/18/185012
Constructive ?? 4 Field Theory without Tears, Annales Henri Poincar??, vol.9, issue.2, pp.403-424, 2008. ,
DOI : 10.1007/s00023-008-0360-1
URL : https://hal.archives-ouvertes.fr/hal-00165694
Loop quantization as a continuum limit, Classical and Quantum Gravity, vol.23, issue.10, p.14, 2005. ,
DOI : 10.1088/0264-9381/23/10/010
Matter Theory and General Relativity, Philosophy of Science, vol.68, pp.3-3, 2001. ,
Particle Scattering in Loop Quantum Gravity, Physical Review Letters, vol.95, issue.19, 2005. ,
DOI : 10.1103/PhysRevLett.95.191301
URL : https://hal.archives-ouvertes.fr/hal-00004785
Quantum models as spacetime based on recoupling theory, 1983. ,
The Asymptotic Safety Scenario in Quantum Gravity, Living Reviews in Relativity, vol.97, issue.12, 2006. ,
DOI : 10.1007/BF01206187
Three-dimensional loop quantum gravity: physical scalar product and spin-foam models, Classical and Quantum Gravity, vol.22, issue.9, p.1739, 2004. ,
DOI : 10.1088/0264-9381/22/9/017
Topological lattice models in four-dimensions, Mod, Phys. Lett, vol.7, pp.2799-2810, 1992. ,
The group field theory approach to quantum gravity, Approaches to Quantum Gravity -toward a new understanding of space, time, and matter, 2009. ,
Toward classical geometrodynamics from the group field theory hydrodynamics, New Journal of Physics, vol.13, issue.2, p.32, 2010. ,
DOI : 10.1088/1367-2630/13/2/025006
Angular momentum: an approach to combinatorial spacetime, pp.151-180, 1971. ,
A spin foam model without bubble divergences, Nuclear Physics B, vol.599, issue.1-2, pp.255-282, 2001. ,
DOI : 10.1016/S0550-3213(01)00030-X
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
An Introduction to Quantum Field Theory The Advanced Book Program, 1995. ,
Semiclassical limit of Racah coefficients, Spectroscopic and group theoretical methods in physics, 1968. ,
General relativity without coordinates, Il Nuovo Cimento, vol.19, issue.3, pp.558-571, 1961. ,
DOI : 10.1007/BF02733251
Spin foams as Feynman diagrams, 2001: A relativistic spacetime odyssey: Experiments & Theoretical Viewpoints on, General Relativity and Quantum Gravity, pp.431-448, 2003. ,
Sum over Surfaces " form of Loop Quantum Gravity, Phys. Rev. D, vol.56, issue.6, pp.3490-3508, 1996. ,
From Perturbative to Constructive Renormalization, 1991. ,
DOI : 10.1515/9781400862085
Towards Renormalizing Group Field Theory arXiv : 1103 . 1900v1 [ gr-qc ] 9, 2011. ,
How are Feynman graphs resumed by the Loop Vertex Expansion?, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00498094
Classical 6j-symbols and the tetrahedron, Geometry & Topology, vol.3, issue.1, pp.21-26, 1998. ,
DOI : 10.2140/gt.1999.3.21
Lattice Gauge Theories: An Introduction, World Scientific, vol.74, 2005. ,
Loop space representation of quantum general relativity, Nuclear Physics B, vol.331, issue.1, pp.80-152, 1990. ,
DOI : 10.1016/0550-3213(90)90019-A
Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum-gravity model is the loop representation basis, Physical Review D, vol.48, issue.6, pp.2702-2707, 1993. ,
DOI : 10.1103/PhysRevD.48.2702
In quantum gravity, summing is refining, Classical and Quantum Gravity, vol.29, issue.5, 2010. ,
DOI : 10.1088/0264-9381/29/5/055004
URL : https://hal.archives-ouvertes.fr/hal-00668680
Knot Theory and Quantum Gravity, Physical Review Letters, vol.61, issue.10, pp.1155-1158, 1988. ,
DOI : 10.1103/PhysRevLett.61.1155
The Euclidean three-point function in loop and perturbative gravity, Classical and Quantum Gravity, vol.28, issue.17, 2011. ,
DOI : 10.1088/0264-9381/28/17/175010
URL : https://hal.archives-ouvertes.fr/hal-00728902
Vacuum quantum fluctuations in curved space and the theory of gravitation, Sov. Phys. Dokl, vol.34, issue.5, pp.1040-1041, 1991. ,
The Volume Measure for Flat Connections as Limit of the Yang-Mills Measure, J. Geom. Phys, vol.47, issue.4, pp.398-426, 2003. ,
Comment on ???Lost in translation: topological singularities in group field theory???, Classical and Quantum Gravity, vol.28, issue.17, 2011. ,
DOI : 10.1088/0264-9381/28/17/178001
URL : https://hal.archives-ouvertes.fr/hal-00564807
PCT, spin and statistics, and all that, Advanced book classics, 1989. ,
A planar diagram theory for strong interactions, Nucl. Phys, pp.72-461, 1974. ,
Modern canonical quantum general relativity, 2007. ,
DOI : 10.1017/CBO9780511755682
Thermodynamical aspects of gravity: new insights, Reports on Progress in Physics, vol.73, issue.4, p.46901, 2010. ,
DOI : 10.1088/0034-4885/73/4/046901
Introduction to combinatorial torsions, 2001. ,
Notes on black-hole evaporation, Physical Review D, vol.14, issue.4, 1976. ,
DOI : 10.1103/PhysRevD.14.870
Quantum Theory of Angular Momentum, 1988. ,
DOI : 10.1142/0270
Emergent physics: Fermi-point scenario, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.6, issue.6781, pp.2935-2951, 1977. ,
DOI : 10.1038/35010035
The Universe in a Helium Droplet, 2003. ,
Princeton landmarks in mathematics and physics, Mathematical Foundations of Quantum Mechanics, vol.72, issue.1, 1955. ,
Gravitational Lamb Shift of Bose-Einstein Condensates due to Spacetime Fluctuations, 2010. ,
Quantum Regge calculus, Approaches to Quantum Gravity -toward a new understanding of space, time, and matter, pp.360-377, 2009. ,
The renormalization group and critical phenomena, Reviews of Modern Physics, vol.55, issue.3, pp.583-600, 1983. ,
DOI : 10.1103/RevModPhys.55.583
2 + 1 dimensional gravity as an exactly soluble system, Nuclear Physics B, vol.311, issue.1, pp.46-78, 1988. ,
DOI : 10.1016/0550-3213(88)90143-5
URL : http://doi.org/10.1016/0550-3213(88)90143-5
Semiclassical Analysis of the Wigner 9J- Symbol with Small and Large Angular Momenta, Phys. Rev. A, vol.83, issue.5, p.18, 2011. ,
Continuum spin foam model for 3d gravity, Journ. Math. Phys, vol.43, issue.12, 2002. ,