-
1
-
-
79960066541
-
A new approach to quantum gravity based on loop variables
-
(Cambridge,: Cambridge University Press)
-
Rovelli C 1988 A new approach to quantum gravity based on loop variables Highlights in Gravitation and Cosmology ed B Iyer (Cambridge,: Cambridge University Press)
-
(1988)
Highlights in Gravitation and Cosmology
-
-
Rovelli, C.1
-
3
-
-
77951606358
-
LTB spacetimes in terms of Dirac observables
-
(arXiv:0906.0569)
-
Giesel K, Tambornino J and Thiemann T 2010 LTB spacetimes in terms of Dirac observables Class. Quantum Grav. 27 105013 (arXiv:0906.0569)
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.10
, pp. 105013
-
-
Giesel, K.1
Tambornino, J.2
Thiemann, T.3
-
5
-
-
1842855789
-
-
(Cambridge: Cambridge University Press)
-
Rovelli C 2004 Quantum Gravity (Cambridge: Cambridge University Press)
-
(2004)
Quantum Gravity
-
-
Rovelli, C.1
-
9
-
-
4043142118
-
Background-independent quantum gravity: A status report
-
(arXiv:gr-qc/0404018)
-
Ashtekar A and Lewandowski J 2004 Background-independent quantum gravity: a status report Class. Quantum Grav. 21 R53 (arXiv:gr-qc/0404018)
-
(2004)
Class. Quantum Grav.
, vol.21
, Issue.15
, pp. 53
-
-
Ashtekar, A.1
Lewandowski, J.2
-
11
-
-
37349043730
-
An introduction to loop quantum gravity through cosmology
-
(arXiv:gr-qc/0702030)
-
Ashtekar A 2007 An introduction to loop quantum gravity through cosmology Nuovo Cimento B 122 135-55 (arXiv:gr-qc/0702030)
-
(2007)
Nuovo Cimento
, vol.122
, pp. 135-155
-
-
Ashtekar, A.1
-
19
-
-
79959854613
-
-
arXiv:1012.4719
-
Bianchi E, Han M, Magliaro E, Perini C, Rovelli C and Wieland W 2010 Spinfoam fermions arXiv:1012.4719
-
(2010)
Spinfoam Fermions
-
-
Bianchi, E.1
Han, M.2
Magliaro, E.3
Perini, C.4
Rovelli, C.5
Wieland, W.6
-
23
-
-
0002414354
-
Angular momentum: An approach to combinatorial spacetime
-
(Cambridge: Cambridge University Press)
-
Penrose R 1971 Angular momentum: an approach to combinatorial spacetime Quantum Theory and Beyond ed T Bastin (Cambridge: Cambridge University Press) pp 151-80
-
(1971)
Quantum Theory and beyond
, pp. 151-180
-
-
Penrose, R.1
-
24
-
-
0002534146
-
Allgemeine Lehrsätze über die konvexe Polyeder
-
Minkowski H 1897 Allgemeine Lehrsätze über die konvexe Polyeder Nachr. Ges. Wiss. Goett. 198-219
-
(1897)
Nachr. Ges. Wiss. Goett.
, pp. 198-219
-
-
Minkowski, H.1
-
26
-
-
49349091774
-
Area-angle variables for general relativity
-
(arXiv:0802.0864)
-
Dittrich B and Speziale S 2008 Area-angle variables for general relativity New J. Phys. 10 083006 (arXiv:0802.0864)
-
(2008)
New J. Phys.
, vol.10
, Issue.8
, pp. 083006
-
-
Dittrich, B.1
Speziale, S.2
-
27
-
-
0041020420
-
Operators for quantized directions
-
(arXiv:gr-qc/9905019)
-
Major S A 1999 Operators for quantized directions Class. Quantum Grav. 16 3859-77 (arXiv:gr-qc/9905019)
-
(1999)
Class. Quantum Grav.
, vol.16
, Issue.12
, pp. 3859-3877
-
-
Major, S.A.1
-
28
-
-
33644745123
-
Complexifier coherent states for quantum general relativity
-
(arXiv:gr-qc/0206037)
-
Thiemann T 2006 Complexifier coherent states for quantum general relativity Class. Quantum Grav. 23 2063-118 (arXiv:gr-qc/0206037)
-
(2006)
Class. Quantum Grav.
, vol.23
, Issue.6
, pp. 2063-2118
-
-
Thiemann, T.1
-
29
-
-
43049115374
-
Physical boundary state for the quantum tetrahedron
-
(arXiv:0711.2455)
-
Livine E R and Speziale S 2008 Physical boundary state for the quantum tetrahedron Class. Quantum Grav. 25 085003 (arXiv:0711.2455)
-
(2008)
Class. Quantum Grav.
, vol.25
, Issue.8
, pp. 085003
-
-
Livine, E.R.1
Speziale, S.2
-
31
-
-
77955637986
-
Coherent spin-networks
-
(arXiv:0912.4054)
-
Bianchi E, Magliaro E and Perini C 2010 Coherent spin-networks Phys. Rev. D 82 024012 (arXiv:0912.4054)
-
(2010)
Phys. Rev.
, vol.82
, Issue.2
, pp. 024012
-
-
Bianchi, E.1
Magliaro, E.2
Perini, C.3
-
33
-
-
33744541191
-
Hamiltonian formulation of Wilson's lattice gauge theories
-
Kogut J and Susskind L 1975 Hamiltonian formulation of Wilson's lattice gauge theories Phys. Rev. D 11 395-408
-
(1975)
Phys. Rev.
, vol.11
, Issue.2
, pp. 395-408
-
-
Kogut, J.1
Susskind, L.2
-
34
-
-
66749112993
-
Regularization and finiteness of the Lorentzian LQG vertices
-
(arXiv:0805.4696)
-
Engle J and Pereira R 2009 Regularization and finiteness of the Lorentzian LQG vertices Phys. Rev. D 79 084034 (arXiv:0805.4696)
-
(2009)
Phys. Rev.
, vol.79
, Issue.8
, pp. 084034
-
-
Engle, J.1
Pereira, R.2
-
37
-
-
73949113480
-
Quantum geometry from phase space reduction
-
(arXiv:0902.0351)
-
Conrady F and Freidel L 2009 Quantum geometry from phase space reduction J. Math. Phys. 50 123510 (arXiv:0902.0351)
-
(2009)
J. Math. Phys.
, vol.50
, Issue.12
, pp. 123510
-
-
Conrady, F.1
Freidel, L.2
-
39
-
-
78651082542
-
Towards spinfoam cosmology
-
(arXiv:1003.3483)
-
Bianchi E, Rovelli C and Vidotto F 2010 Towards spinfoam cosmology Phys. Rev. D 82 084035 (arXiv:1003.3483)
-
(2010)
Phys. Rev.
, vol.82
, Issue.8
, pp. 084035
-
-
Bianchi, E.1
Rovelli, C.2
Vidotto, F.3
-
40
-
-
33244479178
-
From 3-geometry transition amplitudes to graviton states
-
DOI 10.1016/j.nuclphysb.2006.01.026, PII S0550321306000678
-
Mattei F, Rovelli C, Speziale S and Testa M 2006 From 3-geometry transition amplitudes to graviton states Nucl. Phys. B 739 234-53 (arXiv:gr-qc/0508007) (Pubitemid 43273741)
-
(2006)
Nuclear Physics B
, vol.739
, Issue.1-2
, pp. 234-253
-
-
Mattei, F.1
Rovelli, C.2
Speziale, S.3
Testa, M.4
-
41
-
-
33749624853
-
Graviton propagator from background-independent quantum gravity
-
Rovelli C 2006 Graviton propagator from background-independent quantum gravity Phys. Rev. Lett. 97 151301
-
(2006)
Phys. Rev. Lett.
, vol.97
, Issue.15
, pp. 151301
-
-
Rovelli, C.1
-
42
-
-
28844475668
-
Particle scattering in loop quantum gravity
-
(arXiv:gr-qc/0502036)
-
Modesto L and Rovelli C 2005 Particle scattering in loop quantum gravity Phys. Rev. Lett. 95 191301 (arXiv:gr-qc/0502036)
-
(2005)
Phys. Rev. Lett.
, vol.95
, Issue.19
, pp. 191301
-
-
Modesto, L.1
Rovelli, C.2
-
43
-
-
33846124623
-
Graviton propagator in loop quantum gravity
-
(arXiv:gr-qc/0604044)
-
Bianchi E, Modesto L, Rovelli C and Speziale S 2006 Graviton propagator in loop quantum gravity Class. Quantum Grav. 23 6989-7028 (arXiv:gr-qc/0604044)
-
(2006)
Class. Quantum Grav.
, vol.23
, Issue.23
, pp. 6989-7028
-
-
Bianchi, E.1
Modesto, L.2
Rovelli, C.3
Speziale, S.4
-
44
-
-
69249162856
-
LQG propagator from the new spin foams
-
(arXiv:0905.4082)
-
Bianchi E, Magliaro E and Perini C 2009 LQG propagator from the new spin foams Nucl. Phys. B 822 245-69 (arXiv:0905.4082)
-
(2009)
Nucl. Phys.
, vol.822
, Issue.1-2
, pp. 245-269
-
-
Bianchi, E.1
Magliaro, E.2
Perini, C.3
-
45
-
-
0029688615
-
Renormalization of black hole entropy and of the gravitational coupling constant
-
Larsen F and Wilczek F 1996 Renormalization of black hole entropy and of the gravitational coupling constant Nucl. Phys. B 458 249-66 (arXiv:hep-th/9506066) (Pubitemid 126159439)
-
(1996)
Nuclear Physics B
, vol.458
, Issue.1-2
, pp. 249-266
-
-
Larsen, F.1
Wilczek, F.2
-
47
-
-
0000379810
-
Feynman quantization of general relativity
-
Misner C W 1957 Feynman quantization of general relativity Rev. Mod. Phys. 29 497
-
(1957)
Rev. Mod. Phys.
, vol.29
, Issue.3
, pp. 497
-
-
Misner, C.W.1
-
48
-
-
51649208939
-
General relativity without coordinates
-
Regge T 1961 General relativity without coordinates Nuovo Cimento 19 558-71
-
(1961)
Nuovo Cimento
, vol.19
, Issue.3
, pp. 558-571
-
-
Regge, T.1
-
49
-
-
21444435270
-
Quantizing Regge calculus
-
DOI 10.1088/0264-9381/13/9/006
-
Immirzi G 1996 Quantizing Regge calculus Class. Quantum Grav. 13 2385-94 (arXiv:gr-qc/9512040) (Pubitemid 126118676)
-
(1996)
Classical and Quantum Gravity
, vol.13
, Issue.9
, pp. 2385-2394
-
-
Immirzi, G.1
-
50
-
-
0031206071
-
Quantum gravity and Regge calculus
-
PII S092056329700354X
-
Immirzi G 1997 Quantum gravity and Regge calculus Nucl. Phys. Proc. Suppl. 57 65-72 (arXiv:gr-qc/9701052) (Pubitemid 127174217)
-
(1997)
Nuclear Physics B - Proceedings Supplements
, vol.57
, Issue.1-3
, pp. 65-72
-
-
Immirzi, G.1
-
52
-
-
33744549078
-
Planar diagrams, two-dimensional lattice gravity and surface models
-
David F 1985 Planar diagrams, two-dimensional lattice gravity and surface models Nucl. Phys. B 257 45-58
-
(1985)
Nucl. Phys.
, vol.257
, pp. 45-58
-
-
David, F.1
-
53
-
-
0001019709
-
Nonperturbative two-dimensional quantum gravity
-
Gross D J and Migdal A A 1990 Nonperturbative two-dimensional quantum gravity Phys. Rev. Lett. 64 127
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.2
, pp. 127
-
-
Gross, D.J.1
Migdal, A.A.2
-
54
-
-
0041814864
-
Diseases of triangulated random surface models, and possible cures
-
Ambjorn J, Durhuus B and Frohlich J 1985 Diseases of triangulated random surface models, and possible cures Nucl. Phys. B 257 433
-
(1985)
Nucl. Phys.
, vol.257
, pp. 433
-
-
Ambjorn, J.1
Durhuus, B.2
Frohlich, J.3
-
55
-
-
0000533445
-
Critical properties of randomly triangulated planar random surfaces
-
Kazakov V A, Migdal A A and Kostov I K 1985 Critical properties of randomly triangulated planar random surfaces Phys. Lett. B 157 295-300
-
(1985)
Phys. Lett.
, vol.157
, Issue.4
, pp. 295-300
-
-
Kazakov, V.A.1
Migdal, A.A.2
Kostov, I.K.3
-
57
-
-
0001645689
-
A Model of three-dimensional lattice gravity
-
(arXiv:hep-th/9202074)
-
Boulatov D V 1992 A Model of three-dimensional lattice gravity Mod. Phys. Lett. A 7 1629-46 (arXiv:hep-th/9202074)
-
(1992)
Mod. Phys. Lett.
, vol.7
, Issue.18
, pp. 1629-1646
-
-
Boulatov, D.V.1
-
58
-
-
0001569507
-
Topological lattice models in four-dimensions
-
(arXiv:hep-th/9205090)
-
Ooguri H 1992 Topological lattice models in four-dimensions Mod. Phys. Lett. A 7 2799-810 (arXiv:hep-th/9205090)
-
(1992)
Mod. Phys. Lett.
, vol.7
, Issue.30
, pp. 2799-2810
-
-
Ooguri, H.1
-
59
-
-
13344250498
-
Loop space representation of quantum general relativity
-
Rovelli C and Smolin L 1990 Loop space representation of quantum general relativity Nucl. Phys. B 331 80
-
(1990)
Nucl. Phys.
, vol.331
, Issue.1
, pp. 80
-
-
Rovelli, C.1
Smolin, L.2
-
60
-
-
23544453757
-
New variables for classical and quantum gravity
-
Ashtekar A 1986 New variables for classical and quantum gravity Phys. Rev. Lett. 57 2244-7
-
(1986)
Phys. Rev. Lett.
, vol.57
, Issue.18
, pp. 2244-2247
-
-
Ashtekar, A.1
-
61
-
-
33244484014
-
Nonperturbative quantum geometries
-
Jacobson T and Smolin L 1988 Nonperturbative quantum geometries Nucl. Phys. B 299 295-345
-
(1988)
Nucl. Phys.
, vol.299
, Issue.2
, pp. 295-345
-
-
Jacobson, T.1
Smolin, L.2
-
63
-
-
33750814079
-
Knot theory and quantum gravity
-
Rovelli C and Smolin L 1988 Knot theory and quantum gravity Phys. Rev. Lett. 61 1155
-
(1988)
Phys. Rev. Lett.
, vol.61
, Issue.10
, pp. 1155
-
-
Rovelli, C.1
Smolin, L.2
-
64
-
-
0039849922
-
Intersecting N loop solutions of the Hamiltonian constraint of quantum gravity
-
Brügmann B and Pullin J 1991 Intersecting N loop solutions of the Hamiltonian constraint of quantum gravity Nucl. Phys. B 363 221-44
-
(1991)
Nucl. Phys.
, vol.363
, Issue.1
, pp. 221-244
-
-
Brügmann, B.1
Pullin, J.2
-
65
-
-
4244018626
-
Knot invariants as nondegenerate quantum geometries
-
Brügmann B, Gambini R and Pullin J 1992 Knot invariants as nondegenerate quantum geometries Phys. Rev. Lett. 68 431-4
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.4
, pp. 431-434
-
-
Brügmann, B.1
Gambini, R.2
Pullin, J.3
-
66
-
-
4243630060
-
The volume operator in discretized quantum gravity
-
(arXiv:gr-qc/9506014)
-
Loll R 1995 The volume operator in discretized quantum gravity Phys. Rev. Lett. 75 3048-51 (arXiv:gr-qc/9506014)
-
(1995)
Phys. Rev. Lett.
, vol.75
, Issue.17
, pp. 3048-3051
-
-
Loll, R.1
-
68
-
-
72249090199
-
Particle topology, braids, and braided belts
-
(arXiv:0903.1376)
-
Bilson-Thompson S, Hackett J and Kauffman L H 2009 Particle topology, braids, and braided belts J. Math. Phys. 50 113505 (arXiv:0903.1376)
-
(2009)
J. Math. Phys.
, vol.50
, Issue.11
, pp. 113505
-
-
Bilson-Thompson, S.1
Hackett, J.2
Kauffman, L.H.3
-
69
-
-
78649809141
-
Lost in translation: Topological singularities in group field theory
-
(arXiv:1006.0714)
-
Gurau R 2010 Lost in translation: topological singularities in group field theory Class. Quantum Grav. 27 235023 (arXiv:1006.0714)
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.23
, pp. 235023
-
-
Gurau, R.1
-
70
-
-
33744572565
-
Spin networks and quantum gravity
-
(arXiv:gr-qc/9505006)
-
Rovelli C and Smolin L 1995 Spin networks and quantum gravity Phys. Rev. D 52 5743-59 (arXiv:gr-qc/9505006)
-
(1995)
Phys. Rev.
, vol.52
, Issue.10
, pp. 5743-5759
-
-
Rovelli, C.1
Smolin, L.2
-
71
-
-
0007020922
-
Discreteness of area and volume in quantum gravity
-
(arXiv:gr-qc/9411005)
-
Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-622 (arXiv:gr-qc/9411005)
-
(1995)
Nucl. Phys.
, vol.442
, Issue.3
, pp. 593-622
-
-
Rovelli, C.1
Smolin, L.2
-
72
-
-
0001979597
-
Quantum theory of geometry: I. Area operators
-
(arXiv:gr-qc/9602046)
-
Ashtekar A and Lewandowski J 1997 Quantum theory of geometry: I. Area operators Class. Quantum Grav. 14 A55-82 (arXiv:gr-qc/9602046)
-
(1997)
Class. Quantum Grav.
, vol.14
, Issue.1 A
-
-
Ashtekar, A.1
Lewandowski, J.2
-
73
-
-
0001037369
-
Quantum theory of geometry: II. Volume operators
-
(arXiv:gr-qc/9711031)
-
Ashtekar A and Lewandowski J 1998 Quantum theory of geometry: II. Volume operators Adv. Theor. Math. Phys. 1 388-429 (arXiv:gr-qc/9711031)
-
(1998)
Adv. Theor. Math. Phys.
, vol.1
, pp. 388-429
-
-
Ashtekar, A.1
Lewandowski, J.2
-
74
-
-
0001067551
-
Weaving a classical geometry with quantum threads
-
(arXiv:hep-th/9203079)
-
Ashtekar A, Rovelli C and Smolin L 1992 Weaving a classical geometry with quantum threads Phys. Rev. Lett. 69 237-40 (arXiv:hep-th/9203079)
-
(1992)
Phys. Rev. Lett.
, vol.69
, Issue.2
, pp. 237-240
-
-
Ashtekar, A.1
Rovelli, C.2
Smolin, L.3
-
75
-
-
0003278748
-
C algebras
-
(Oxford: Oxford University Press)
-
C algebras Knots and Quantum Gravity (Oxford Lecture Series in Mathematics and Its Applications vol 1) ed J Baez (Oxford: Oxford University Press) pp 21-61
-
(1994)
Knots and Quantum Gravity
, pp. 21-61
-
-
Ashtekar, A.1
Lewandowski, J.2
-
78
-
-
79959854613
-
-
arXiv:1012.4719
-
Bianchi E, Han M, Magliaro E, Perini C, Rovelli C and Wieland W 2010 Spinfoam fermions arXiv:1012.4719
-
(2010)
Spinfoam Fermions
-
-
Bianchi, E.1
Han, M.2
Magliaro, E.3
Perini, C.4
Rovelli, C.5
Wieland, W.6
-
79
-
-
0000645818
-
The physical hamiltonian in nonperturbative quantum gravity
-
Rovelli C and Smolin L 1994 The physical Hamiltonian in nonperturbative quantum gravity Phys. Rev. Lett. 72 446-9 (arXiv:gr-qc/9308002) (Pubitemid 24975633)
-
(1994)
Physical Review Letters
, vol.72
, Issue.4
, pp. 446-449
-
-
Rovelli, C.1
Smolin, L.2
-
80
-
-
0032399747
-
Quantum spin dynamics (QSD)
-
PII S0264938198843487
-
Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73 (arXiv:gr-qc/9606089) (Pubitemid 128433544)
-
(1998)
Classical and Quantum Gravity
, vol.15
, Issue.4
, pp. 839-873
-
-
Thiemann, T.1
-
81
-
-
0000806011
-
'Gauge-invariant' variables in general relativity
-
Bergmann P G 1961 'Gauge-invariant' variables in general relativity Phys. Rev. 124 274-8
-
(1961)
Phys. Rev.
, vol.124
, Issue.1
, pp. 274-278
-
-
Bergmann, P.G.1
-
82
-
-
0000576508
-
Observables in general relativity
-
Bergmann P G 1961 Observables in general relativity Rev. Mod. Phys. 33 510-4
-
(1961)
Rev. Mod. Phys.
, vol.33
, Issue.4
, pp. 510-514
-
-
Bergmann, P.G.1
-
83
-
-
0007068785
-
Poisson brackets between locally defined observables in general relativity
-
Bergmann P G and Komar A B 1960 Poisson brackets between locally defined observables in general relativity Phys. Rev. Lett. 4 432-3
-
(1960)
Phys. Rev. Lett.
, vol.4
, Issue.8
, pp. 432-433
-
-
Bergmann, P.G.1
Komar, A.B.2
-
84
-
-
33845343289
-
What is observable in classical and quantum gravity?
-
Rovelli C 1991 What is observable in classical and quantum gravity? Class. Quantum Grav. 8 297-316
-
(1991)
Class. Quantum Grav.
, vol.8
, Issue.2
, pp. 297-316
-
-
Rovelli, C.1
-
85
-
-
85038321662
-
Partial observables
-
(arXiv:gr-qc/0110035)
-
Rovelli C 2002 Partial observables Phys. Rev. D 65 124013 (arXiv:gr-qc/0110035)
-
(2002)
Phys. Rev.
, vol.65
, Issue.12
, pp. 124013
-
-
Rovelli, C.1
-
86
-
-
35348954729
-
Partial and complete observables for Hamiltonian constrained systems
-
(arXiv:gr-qc/0411013)
-
Dittrich B 2007 Partial and complete observables for Hamiltonian constrained systems Gen. Rel. Grav. 39 1891-927 (arXiv:gr-qc/0411013)
-
(2007)
Gen. Rel. Grav.
, vol.39
, Issue.11
, pp. 1891-1927
-
-
Dittrich, B.1
-
87
-
-
33846150041
-
Partial and complete observables for canonical general relativity
-
(arXiv:gr-qc/0507106)
-
Dittrich B 2006 Partial and complete observables for canonical general relativity Class. Quantum Grav. 23 6155-84 (arXiv:gr-qc/0507106)
-
(2006)
Class. Quantum Grav.
, vol.23
, Issue.22
, pp. 6155-6184
-
-
Dittrich, B.1
-
88
-
-
33845289811
-
Quantum reference systems
-
Rovelli C 1991 Quantum reference systems Class. Quantum Grav. 8 317-32
-
(1991)
Class. Quantum Grav.
, vol.8
, Issue.2
, pp. 317-332
-
-
Rovelli, C.1
-
89
-
-
33947577031
-
A perturbative approach to Dirac observables and their space-time algebra
-
(arXiv:gr-qc/0610060)
-
Dittrich B and Tambornino J 2007 A perturbative approach to Dirac observables and their space-time algebra Class. Quantum Grav. 24 757-84 (arXiv:gr-qc/0610060)
-
(2007)
Class. Quantum Grav.
, vol.24
, Issue.4
, pp. 757-784
-
-
Dittrich, B.1
Tambornino, J.2
-
90
-
-
35649001879
-
Gauge invariant perturbations around symmetry reduced sectors of general relativity: Applications to cosmology
-
(arXiv:gr-qc/0702093)
-
Dittrich B and Tambornino J 2007 Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology Class. Quantum Grav. 24 4543-86 (arXiv:gr-qc/0702093)
-
(2007)
Class. Quantum Grav.
, vol.24
, Issue.18
, pp. 4543-4586
-
-
Dittrich, B.1
Tambornino, J.2
-
91
-
-
32344436612
-
Reduced phase space quantization and Dirac observables
-
DOI 10.1088/0264-9381/23/4/006, PII S0264938106114148
-
Thiemann T 2006 Reduced phase space quantization and Dirac observables Class. Quantum Grav. 23 1163-80 (arXiv:gr-qc/0411031) (Pubitemid 43221361)
-
(2006)
Classical and Quantum Gravity
, vol.23
, Issue.4
, pp. 1163-1180
-
-
Thiemann, T.1
-
93
-
-
76749129003
-
Manifestly gauge-invariant general relativistic perturbation theory: I. Foundations
-
(arXiv:0711.0115 [gr-qc])
-
Giesel K, Hofmann S, Thiemann T and Winkler O 2010 Manifestly gauge-invariant general relativistic perturbation theory: I. Foundations Class. Quantum Grav. 27 055005 (arXiv:0711.0115 [gr-qc])
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.5
, pp. 055005
-
-
Giesel, K.1
Hofmann, S.2
Thiemann, T.3
Winkler, O.4
-
94
-
-
76749129003
-
Manifestly gauge-invariant general relativistic perturbation theory: II. FRW background and first order
-
(arXiv:0711.0117 [gr-qc])
-
Giesel K, Hofmann S, Thiemann T and Winkler O 2010 Manifestly gauge-invariant general relativistic perturbation theory: II. FRW background and first order Class. Quantum Grav. 27 055006 (arXiv:0711.0117 [gr-qc])
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.5
, pp. 055006
-
-
Giesel, K.1
Hofmann, S.2
Thiemann, T.3
Winkler, O.4
-
95
-
-
78649530313
-
Algebraic quantum gravity (AQG): IV. Reduced phase space quantisation of loop quantum gravity
-
(arXiv:0711.0119 [gr-qc])
-
Giesel K and Thiemann T 2010 Algebraic quantum gravity (AQG): IV. Reduced phase space quantisation of loop quantum gravity Class. Quantum Grav. 27 175009 (arXiv:0711.0119 [gr-qc])
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.17
, pp. 175009
-
-
Giesel, K.1
Thiemann, T.2
-
98
-
-
0009249782
-
"Sum over surfaces" form of loop quantum gravity
-
(arXiv:gr-qc/9612035)
-
Reisenberger M P and Rovelli C 1997 "Sum over surfaces" form of loop quantum gravity Phys. Rev. D 56 3490-3508 (arXiv:gr-qc/9612035)
-
(1997)
Phys. Rev.
, vol.56
, Issue.6
, pp. 3490-3508
-
-
Reisenberger, M.P.1
Rovelli, C.2
-
99
-
-
21844520962
-
A definition of the Ponzano-Regge quantum gravity model in terms of surfaces
-
(arXiv:gr-qc/9505043)
-
Iwasaki J 1995 A definition of the Ponzano-Regge quantum gravity model in terms of surfaces J. Math. Phys. 36 6288-98 (arXiv:gr-qc/9505043)
-
(1995)
J. Math. Phys.
, vol.36
, Issue.11
, pp. 6288-6298
-
-
Iwasaki, J.1
-
100
-
-
0032362859
-
Relativistic spin networks and quantum gravity
-
(arXiv:gr-qc/9709028)
-
Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys. 39 3296-302 (arXiv:gr-qc/9709028)
-
(1998)
J. Math. Phys.
, vol.39
, Issue.6
, pp. 3296-3302
-
-
Barrett, J.W.1
Crane, L.2
-
101
-
-
0034701609
-
Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
-
(arXiv:hep-th/9907154)
-
De Pietri R, 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 (arXiv:hep-th/9907154)
-
(2000)
Nucl. Phys.
, vol.574
, Issue.3
, pp. 785-806
-
-
De Pietri, R.1
Freidel, L.2
Krasnov, K.3
Rovelli, C.4
-
102
-
-
36049036346
-
The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
-
(arXiv:0708.0883)
-
Alesci E and Rovelli C 2007 The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex Phys. Rev. D 76 104012 (arXiv:0708.0883)
-
(2007)
Phys. Rev.
, vol.76
, Issue.10
, pp. 104012
-
-
Alesci, E.1
Rovelli, C.2
-
103
-
-
35348831786
-
The loop-quantum-gravity vertex-amplitude
-
(arXiv:0705.2388)
-
Engle J, Pereira R and Rovelli C 2007 The loop-quantum-gravity vertex-amplitude Phys. Rev. Lett. 99 161301 (arXiv:0705.2388)
-
(2007)
Phys. Rev. Lett.
, vol.99
, Issue.16
, pp. 161301
-
-
Engle, J.1
Pereira, R.2
Rovelli, C.3
-
104
-
-
41949090699
-
Flipped spinfoam vertex and loop gravity
-
(arXiv:0708.1236)
-
Engle J, Pereira R and Rovelli C 2008 Flipped spinfoam vertex and loop gravity Nucl. Phys. B 798 251-90 (arXiv:0708.1236)
-
(2008)
Nucl. Phys.
, vol.798
, Issue.1-2
, pp. 251-290
-
-
Engle, J.1
Pereira, R.2
Rovelli, C.3
-
105
-
-
42749086206
-
LQG vertex with finite Immirzi parameter
-
(arXiv:0711.0146)
-
Engle J, Livine E, Pereira R and Rovelli C 2008 LQG vertex with finite Immirzi parameter Nucl. Phys. B 799 136-49 (arXiv:0711.0146)
-
(2008)
Nucl. Phys.
, vol.799
, Issue.1-2
, pp. 136-149
-
-
Engle, J.1
Livine, E.2
Pereira, R.3
Rovelli, C.4
-
106
-
-
0037272589
-
Spin foam models for quantum gravity
-
Perez A 2003 Spin foam models for quantum gravity Class. Quantum Grav. 20 R43
-
(2003)
Class. Quantum Grav.
, vol.20
, Issue.6
, pp. 43
-
-
Perez, A.1
-
107
-
-
46649118636
-
A new spin foam model for 4d gravity
-
(arXiv:0708.1595)
-
Freidel L and Krasnov K 2008 A new spin foam model for 4d gravity Class. Quantum Grav. 25 125018 (arXiv:0708.1595)
-
(2008)
Class. Quantum Grav.
, vol.25
, Issue.12
, pp. 125018
-
-
Freidel, L.1
Krasnov, K.2
-
108
-
-
35648968233
-
A new spinfoam vertex for quantum gravity
-
(arXiv:0705.0674)
-
Livine E R and Speziale S 2007 A new spinfoam vertex for quantum gravity Phys. Rev. D 76 084028 (arXiv:0705.0674)
-
(2007)
Phys. Rev.
, vol.76
, Issue.8
, pp. 084028
-
-
Livine, E.R.1
Speziale, S.2
-
110
-
-
0000200934
-
Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
-
(arXiv:gr-qc/9511026)
-
Holst S 1996 Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action Phys. Rev. D 53 5966-9 (arXiv:gr-qc/9511026)
-
(1996)
Phys. Rev.
, vol.53
, Issue.10
, pp. 5966-5969
-
-
Holst, S.1
-
111
-
-
33750646000
-
A real polynomial formulation of general relativity in terms of connections
-
(arXiv:gr-qc/9311019)
-
Barbero J F 1994 A real polynomial formulation of general relativity in terms of connections Phys. Rev. D 49 6935-8 (arXiv:gr-qc/9311019)
-
(1994)
Phys. Rev.
, vol.49
, Issue.12
, pp. 6935-6938
-
-
Barbero, J.F.1
-
112
-
-
0039646461
-
Real and complex connections for canonical gravity
-
(arXiv:gr-qc/9612030)
-
Immirzi G 1997 Real and complex connections for canonical gravity Class. Quantum Grav. 14 L177-81 (arXiv:gr-qc/9612030)
-
(1997)
Class. Quantum Grav.
, vol.14
, Issue.10
-
-
Immirzi, G.1
-
114
-
-
78649618128
-
Physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory
-
(arXiv:1006.1294)
-
Ding Y and Rovelli C 2010 Physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory Class. Quantum Grav. 27 205003 (arXiv:1006.1294)
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.20
, pp. 205003
-
-
Ding, Y.1
Rovelli, C.2
-
122
-
-
42649101900
-
General boundary quantum field theory: Foundations and probability interpretation
-
(arXiv:hep-th/0509122)
-
Oeckl R 2008 General boundary quantum field theory: foundations and probability interpretation Adv. Theor. Math. Phys. 12 319-52 (arXiv:hep-th/0509122)
-
(2008)
Adv. Theor. Math. Phys.
, vol.12
, pp. 319-352
-
-
Oeckl, R.1
-
123
-
-
47649083740
-
Loop quantum cosmology
-
Bojowald M 2008 Loop quantum cosmology Living Rev. Rel. 11 4
-
(2008)
Living Rev. Rel.
, vol.11
, pp. 4
-
-
Bojowald, M.1
-
124
-
-
63349109219
-
Loop quantum cosmology: An overview
-
(arXiv:0812.0177)
-
Ashtekar A 2009 Loop quantum cosmology: an overview Gen. Rel. Grav. 41 707-41 (arXiv:0812.0177)
-
(2009)
Gen. Rel. Grav.
, vol.41
, Issue.4
, pp. 707-741
-
-
Ashtekar, A.1
-
125
-
-
0001200364
-
Canonical quantization of the Gowdy model
-
(arXiv:gr-qc/9704041)
-
Mena Marugan G A 1997 Canonical quantization of the Gowdy model Phys. Rev. D 56 908-19 (arXiv:gr-qc/9704041)
-
(1997)
Phys. Rev.
, vol.56
, Issue.2
, pp. 908-919
-
-
Mena Marugan, G.A.1
-
128
-
-
77956912604
-
Inhomogeneous loop quantum cosmology: Hybrid quantization of the Gowdy model
-
(arXiv:1005.5654)
-
Garay L J, Martin-Benito M and Mena Marugan G A 2010 Inhomogeneous loop quantum cosmology: hybrid quantization of the Gowdy model Phys. Rev. D 82 044048 (arXiv:1005.5654)
-
(2010)
Phys. Rev.
, vol.82
, Issue.4
, pp. 044048
-
-
Garay, L.J.1
Martin-Benito, M.2
Mena Marugan, G.A.3
-
129
-
-
38849119047
-
Robustness of key features of loop quantum cosmology
-
(arXiv:0710.3565)
-
Ashtekar A, Corichi A and Singh P 2008 Robustness of key features of loop quantum cosmology Phys. Rev. D 77 024046 (arXiv:0710.3565)
-
(2008)
Phys. Rev.
, vol.77
, Issue.2
, pp. 024046
-
-
Ashtekar, A.1
Corichi, A.2
Singh, P.3
-
130
-
-
67649683000
-
Are loop quantum cosmos never singular?
-
(arXiv:0901.2750)
-
Singh P 2009 Are loop quantum cosmos never singular? Class. Quantum Grav. 26 125005 (arXiv:0901.2750)
-
(2009)
Class. Quantum Grav.
, vol.26
, Issue.12
, pp. 125005
-
-
Singh, P.1
-
132
-
-
19944433003
-
Disappearance of black hole singularity in quantum gravity
-
Modesto L 2004 Disappearance of black hole singularity in quantum gravity Phys. Rev. D 70 124009
-
(2004)
Phys. Rev.
, vol.70
, Issue.12
, pp. 124009
-
-
Modesto, L.1
-
133
-
-
31644445995
-
Quantum geometry and the Schwarzschild singularity
-
Ashtekar A and Bojowald M 2006 Quantum geometry and the Schwarzschild singularity Class. Quantum Grav. 23 391
-
(2006)
Class. Quantum Grav.
, vol.23
, Issue.2
, pp. 391
-
-
Ashtekar, A.1
Bojowald, M.2
-
134
-
-
54849425421
-
Black holes in loop quantum gravity: The complete space-time
-
(arXiv:0805.1187)
-
Gambini R and Pullin J 2008 Black holes in loop quantum gravity: the complete space-time Phys. Rev. Lett. 101 161301 (arXiv:0805.1187)
-
(2008)
Phys. Rev. Lett.
, vol.101
, Issue.16
, pp. 161301
-
-
Gambini, R.1
Pullin, J.2
-
136
-
-
77957819218
-
Loop quantum cosmology and slow roll inflation
-
(arXiv:0912.4093)
-
Ashtekar A and Sloan D 2010 Loop quantum cosmology and slow roll inflation Phys. Lett. B 694 108-12 (arXiv:0912.4093)
-
(2010)
Phys. Lett.
, vol.694
, Issue.2
, pp. 108-112
-
-
Ashtekar, A.1
Sloan, D.2
-
137
-
-
68949199245
-
Quantum geometry of isolated horizons and black hole entropy
-
(arXiv:gr-qc/0005126)
-
Ashtekar A, Baez J C and Krasnov K 2000 Quantum geometry of isolated horizons and black hole entropy Adv. Theor. Math. Phys. 4 1-94 (arXiv:gr-qc/0005126)
-
(2000)
Adv. Theor. Math. Phys.
, vol.4
, pp. 1-94
-
-
Ashtekar, A.1
Baez, J.C.2
Krasnov, K.3
-
138
-
-
27344431922
-
Classical quantum physics of isolated horizons: A brief overview
-
Ashtekar A 2000 Classical quantum physics of isolated horizons: a brief overview Lect. Notes Phys. 541 50-70
-
(2000)
Lect. Notes Phys.
, vol.541
, pp. 50-70
-
-
Ashtekar, A.1
-
139
-
-
77956933624
-
Black hole entropy from an SU(2)-invariant formulation of type i isolated horizons
-
(arXiv:1006.0634)
-
Engle J, Noui K, Perez A and Pranzetti D 2010 Black hole entropy from an SU(2)-invariant formulation of type I isolated horizons Phys. Rev. D 82 044050 (arXiv:1006.0634)
-
(2010)
Phys. Rev.
, vol.82
, Issue.4
, pp. 044050
-
-
Engle, J.1
Noui, K.2
Perez, A.3
Pranzetti, D.4
-
140
-
-
10044267716
-
Black hole entropy in loop quantum gravity
-
(arXiv:gr-qc/0407052)
-
Meissner K A 2004 Black hole entropy in loop quantum gravity Class. Quantum Grav. 21 5245-52 (arXiv:gr-qc/0407052)
-
(2004)
Class. Quantum Grav.
, vol.21
, Issue.22
, pp. 5245-5252
-
-
Meissner, K.A.1
-
142
-
-
70449622904
-
The combinatorics of the SU(2) black hole entropy in loop quantum gravity
-
(arXiv:0906.4529)
-
Agullo I, Fernando Barbero G J, Borja E F, Diaz-Polo J and Villasenor E J S 2009 The combinatorics of the SU(2) black hole entropy in loop quantum gravity Phys. Rev. D 80 084006 (arXiv:0906.4529)
-
(2009)
Phys. Rev.
, vol.80
, Issue.8
, pp. 084006
-
-
Agullo, I.1
Fernando Barbero, G.J.2
Borja, E.F.3
Diaz-Polo, J.4
Villasenor, E.J.S.5
-
144
-
-
35648943624
-
Renormalization and black hole entropy in loop quantum gravity
-
(arXiv:0707.4026 [gr-qc])
-
Jacobson T 2007 Renormalization and black hole entropy in loop quantum gravity Class. Quantum Grav. 24 4875-9 (arXiv:0707.4026 [gr-qc])
-
(2007)
Class. Quantum Grav.
, vol.24
, Issue.18
, pp. 4875-4879
-
-
Jacobson, T.1
-
145
-
-
2342429398
-
A 'general boundary' formulation for quantum mechanics and quantum gravity
-
(arXiv:hep-th/0306025)
-
Oeckl R 2003 A 'general boundary' formulation for quantum mechanics and quantum gravity Phys. Lett. B 575 318-24 (arXiv:hep-th/0306025)
-
(2003)
Phys. Lett.
, vol.575
, Issue.3-4
, pp. 318-324
-
-
Oeckl, R.1
-
147
-
-
74249094909
-
Loop quantum cosmology and spin foams
-
(arXiv:0909.4221)
-
Ashtekar A, Campiglia M and Henderson A 2009 Loop quantum cosmology and spin foams Phys. Lett. B 681 347-52 (arXiv:0909.4221)
-
(2009)
Phys. Lett.
, vol.681
, Issue.4
, pp. 347-352
-
-
Ashtekar, A.1
Campiglia, M.2
Henderson, A.3
-
148
-
-
77953105091
-
Casting loop quantum cosmology in the spin foam paradigm
-
(arXiv:1001.5147)
-
Ashtekar A, Campiglia M and Henderson A 2010 Casting loop quantum cosmology in the spin foam paradigm Class. Quantum Grav. 27 135020 (arXiv:1001.5147)
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.13
, pp. 135020
-
-
Ashtekar, A.1
Campiglia, M.2
Henderson, A.3
-
152
-
-
78649886113
-
Shape in an atom of space: Exploring quantum geometry phenomenology
-
(arXiv:1005.5460)
-
Major S A 2010 Shape in an atom of space: exploring quantum geometry phenomenology Class. Quantum Grav. 27 225012 (arXiv:1005.5460)
-
(2010)
Class. Quantum Grav.
, vol.27
, Issue.22
, pp. 225012
-
-
Major, S.A.1
-
154
-
-
84927093020
-
Quantum gravity phenomenology
-
(arXiv:0806.0339)
-
Amelino-Camelia G 2008 Quantum gravity phenomenology Approaches to Quantum Gravity ed D Oriti (Cambridge: Cambridge University Press) pp 427-49 (arXiv:0806.0339)
-
(2008)
Approaches to Quantum Gravity
, pp. 427-449
-
-
Amelino-Camelia, G.1
-
155
-
-
30444440591
-
Lorentz violation at high energy: Concepts, phenomena, and astrophysical constraints
-
DOI 10.1016/j.aop.2005.06.004, PII S0003491605001193
-
Jacobson T, Liberati S and Mattingly D 2006 Lorentz violation at high energy: concepts, phenomena and astrophysical constraints Ann. Phys. 321 150-96 (arXiv:astro-ph/0505267) (Pubitemid 43072826)
-
(2006)
Annals of Physics
, vol.321
, Issue.1
, pp. 150-196
-
-
Jacobson, T.1
Liberati, S.2
Mattingly, D.3
-
156
-
-
0037732661
-
Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction
-
(arXiv:gr-qc/0205108)
-
Rovelli C and Speziale S 2003 Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction Phys. Rev. D 67 064019 (arXiv:gr-qc/0205108)
-
(2003)
Phys. Rev.
, vol.67
, Issue.6
, pp. 064019
-
-
Rovelli, C.1
Speziale, S.2
-
157
-
-
0036421749
-
Projected spin networks for Lorentz connection: Linking spin foams and loop gravity
-
(arXiv:gr-qc/0207084)
-
Livine E R 2002 Projected spin networks for Lorentz connection: linking spin foams and loop gravity Class. Quantum Grav. 19 5525-42 (arXiv:gr-qc/ 0207084)
-
(2002)
Class. Quantum Grav.
, vol.19
, Issue.21
, pp. 5525-5542
-
-
Livine, E.R.1
-
158
-
-
0037441101
-
SU(2) loop quantum gravity seen from covariant theory
-
(arXiv:gr-qc/0209105)
-
Alexandrov S and Livine E R 2003 SU(2) loop quantum gravity seen from covariant theory Phys. Rev. D 67 044009 (arXiv:gr-qc/0209105)
-
(2003)
Phys. Rev.
, vol.67
, Issue.4
, pp. 044009
-
-
Alexandrov, S.1
Livine, E.R.2
-
159
-
-
77955615626
-
The new vertices and canonical quantization
-
(arXiv:1004.2260)
-
Alexandrov S 2010 The new vertices and canonical quantization Phys. Rev. D 82 024024 (arXiv:1004.2260)
-
(2010)
Phys. Rev.
, vol.82
, Issue.2
, pp. 024024
-
-
Alexandrov, S.1
-
160
-
-
12444275588
-
Lorentz invariance: An additional fine-tuning problem
-
(arXiv:gr-qc/0403053)
-
Collins J, Perez A, Sudarsky D, Urrutia L and Vucetich H 2004 Lorentz invariance: an additional fine-tuning problem Phys. Rev. Lett. 93 191301 (arXiv:gr-qc/0403053)
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.19
, pp. 191301
-
-
Collins, J.1
Perez, A.2
Sudarsky, D.3
Urrutia, L.4
Vucetich, H.5
-
161
-
-
61649103365
-
Cosmological footprints of loop quantum gravity
-
(arXiv:0902.0145)
-
Grain J and Barrau A 2009 Cosmological footprints of loop quantum gravity Phys. Rev. Lett. 102 081301 (arXiv:0902.0145)
-
(2009)
Phys. Rev. Lett.
, vol.102
, Issue.8
, pp. 081301
-
-
Grain, J.1
Barrau, A.2
-
165
-
-
77954246282
-
Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
-
(arXiv:1003.4660)
-
Mielczarek J, Cailleteau T, Grain J and Barrau A 2010 Inflation in loop quantum cosmology: dynamics and spectrum of gravitational waves Phys. Rev. D 81 104049 (arXiv:1003.4660)
-
(2010)
Phys. Rev.
, vol.81
, Issue.10
, pp. 104049
-
-
Mielczarek, J.1
Cailleteau, T.2
Grain, J.3
Barrau, A.4
-
166
-
-
77955672136
-
Loop quantum cosmology and phenomenology
-
Bojowald M 2010 Loop quantum cosmology and phenomenology AIP Conf. Proc. 1256 66-80
-
(2010)
AIP Conf. Proc.
, vol.1256
, pp. 66-80
-
-
Bojowald, M.1
-
167
-
-
24144434102
-
Three-dimensional loop quantum gravity: Physical scalar product and spin foam models
-
(arXiv:gr-qc/0402110)
-
Noui K and Perez A 2005 Three-dimensional loop quantum gravity: physical scalar product and spin foam models Class. Quantum Grav. 22 1739-62 (arXiv:gr-qc/0402110)
-
(2005)
Class. Quantum Grav.
, vol.22
, Issue.9
, pp. 1739-1762
-
-
Noui, K.1
Perez, A.2
|