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Volumn 24, Issue 10, 2007, Pages

Algebraic quantum gravity (AQG): I. Conceptual setup

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EID: 34247877500     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/10/003     Document Type: Article
Times cited : (123)

References (83)
  • 3
    • 84943165863 scopus 로고    scopus 로고
    • Loop quantum gravity
    • Rovelli C 1998 Loop quantum gravity Living Rev. Rel. 1 1 (Preprint gr-qc/9710008)
    • (1998) Living Rev. Rel. , vol.1 , pp. 1
    • Rovelli, C.1
  • 4
    • 3042805820 scopus 로고    scopus 로고
    • Lectures on loop quantum gravity
    • Thiemann T 2003 Lectures on loop quantum gravity Lect. Notes Phys. 631 41-135 (Preprint gr-qc/0210094)
    • (2003) Lect. Notes Phys. , vol.631 , pp. 41-135
    • Thiemann, T.1
  • 5
    • 4043142118 scopus 로고    scopus 로고
    • Background independent quantum gravity: A status report
    • Ashtekar A and Lewandowski J 2004 Background independent quantum gravity: a status report Class. Quantum Grav. 21 R53 (Preprint gr-qc/0404018)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.15 , pp. 53
    • Ashtekar, A.1    Lewandowski, J.2
  • 7
    • 33845532740 scopus 로고
    • Representations of the holonomy algebras of gravity and non-Abelian gauge theories
    • Ashtekar A and Isham C J 1992 Representations of the holonomy algebras of gravity and non-Abelian gauge theories Class. Quantum Grav. 9 1433 (Preprint hep-th/9202053)
    • (1992) Class. Quantum Grav. , vol.9 , Issue.6 , pp. 1433
    • Ashtekar, A.1    Isham, C.J.2
  • 9
    • 21844520846 scopus 로고
    • Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
    • Ashtekar A, Lewandowski J, Marolf D, Mourão J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys. 36 6456-93 (Preprint gr-qc/9504018)
    • (1995) J. Math. Phys. , vol.36 , Issue.11 , pp. 6456-6493
    • Ashtekar, A.1    Lewandowski, J.2    Marolf, D.3    Mourão, J.4    Thiemann, T.5
  • 10
    • 0000856078 scopus 로고    scopus 로고
    • Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
    • Thiemann T 1996 Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity Phys. Lett. B 380 257-64 (Preprint gr-qc/9606088)
    • (1996) Phys. Lett. , vol.380 , Issue.3-4 , pp. 257-264
    • Thiemann, T.1
  • 11
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73 (Preprint gr-qc/9606089)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 839-873
    • Thiemann, T.1
  • 12
    • 0032366706 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): II. The kernel of the Wheeler-deWitt constraint operator
    • Thiemann T 1998 Quantum spin dynamics (QSD): II. The kernel of the Wheeler-deWitt constraint operator Class. Quantum Grav. 15 875-905 (Preprint gr-qc/9606090)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 875-905
    • Thiemann, T.1
  • 13
    • 0032367604 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity
    • Thiemann T 1998 Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity Class. Quantum Grav. 15 1207-47 (Preprint gr-qc/9705017)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1207-1247
    • Thiemann, T.1
  • 14
    • 0032369978 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): IV. 2+1 Euclidean quantum gravity as a model to test 3+1 Lorentzian quantum gravity
    • Thiemann T 1998 Quantum spin dynamics (QSD): IV. 2+1 Euclidean quantum gravity as a model to test 3+1 Lorentzian quantum gravity Class. Quantum Grav. 15 1249-80 (Preprint gr-qc/9705018)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1249-1280
    • Thiemann, T.1
  • 15
    • 0032369376 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): V. Quantum gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories
    • Thiemann T 1998 Quantum spin dynamics (QSD): V. Quantum gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories Class. Quantum Grav. 15 1281-314 (Preprint gr-qc/9705019)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1281-1314
    • Thiemann, T.1
  • 16
    • 0032364316 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): VI. Quantum Poincaré algebra and a quantum positivity of energy theorem for canonical quantum gravity
    • Thiemann T 1998 Quantum spin dynamics (QSD): VI. Quantum Poincaré algebra and a quantum positivity of energy theorem for canonical quantum gravity Class. Quantum Grav. 15 1463-85 (Preprint gr-qc/9705020)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.6 , pp. 1463-1485
    • Thiemann, T.1
  • 17
    • 0032361785 scopus 로고    scopus 로고
    • Kinematical Hilbert spaces for fermionic and Higgs quantum field theories
    • Thiemann T 1998 Kinematical Hilbert spaces for fermionic and Higgs quantum field theories Class. Quantum Grav. 15 1487-512 (Preprint gr-qc/9705021)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.6 , pp. 1487-1512
    • Thiemann, T.1
  • 19
    • 0242298648 scopus 로고    scopus 로고
    • Diffeomorphism covariant representations of the holonomy flux algebra
    • Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy flux algebra Class. Quantum Grav. 20 3543-68 (Preprint gr-qc/03027112)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.16 , pp. 3543-3568
    • Okolow, A.1    Lewandowski, J.2
  • 20
    • 14544278360 scopus 로고    scopus 로고
    • Automorphism covariant representations of the holonomy flux *-algebra
    • Okolow A and Lewandowski J 2005 Automorphism covariant representations of the holonomy flux *-algebra Class. Quantum Grav. 22 657-80 (Preprint gr-qc/0405119)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.4 , pp. 657-680
    • Okolow, A.1    Lewandowski, J.2
  • 22
    • 33745190738 scopus 로고    scopus 로고
    • Irreducibility of the Ashtekar-Isham-Lewandowski representation
    • Sahlmann H and Thiemann T 2006 Irreducibility of the Ashtekar-Isham- Lewandowski representation Class. Quantum Grav. 23 4453-72 (Preprint gr-qc/0303074)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.13 , pp. 4453-4472
    • Sahlmann, H.1    Thiemann, T.2
  • 23
    • 33748549372 scopus 로고    scopus 로고
    • Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
    • Lewandowski J, Okolow A, Sahlmann H and Thiemann T 2005 Uniqueness of diffeomorphism invariant states on holonomy-flux algebras Commun. Math. Phys. 267 703-33 (Preprint gr-qc/0504147)
    • (2005) Commun. Math. Phys. , vol.267 , Issue.3 , pp. 703-733
    • Lewandowski, J.1    Okolow, A.2    Sahlmann, H.3    Thiemann, T.4
  • 25
    • 0035615873 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD): VII. Symplectic structures and continuum lattice formulations of gauge field theories
    • Thiemann T 2001 Quantum spin dynamics (QSD): VII. Symplectic structures and continuum lattice formulations of gauge field theories Class. Quantum Grav. 18 3293-338 (Preprint hep-th/0005232)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.17 , pp. 3293-3338
    • Thiemann, T.1
  • 26
    • 0035532879 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): I. General properties
    • Thiemann T 2001 Gauge field theory coherent states (GCS): I. General properties Class. Quantum Grav. 18 2025-64 (Preprint hep-th/0005233)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.11 , pp. 2025-2064
    • Thiemann, T.1
  • 27
    • 0035536916 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): II. Peakedness properties
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS): II. Peakedness properties Class. Quantum Grav. 18 2561-636 (Preprint hep-th/0005237)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.14 , pp. 2561-2636
    • Thiemann, T.1    Winkler, O.2
  • 28
    • 0035540112 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): III. Ehrenfest theorems
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS): III. Ehrenfest theorems Class. Quantum Grav. 18 4629-81 (Preprint hep-th/0005234)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.21 , pp. 4629-4681
    • Thiemann, T.1    Winkler, O.2
  • 29
    • 33645074936 scopus 로고    scopus 로고
    • The Phoenix project: Master constraint programme for loop quantum gravity
    • Thiemann T 2006 The Phoenix project: master constraint programme for loop quantum gravity Class. Quantum Grav. 23 2211-48 (Preprint gr-qc/0305080)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.7 , pp. 2211-2248
    • Thiemann, T.1
  • 30
    • 33645064040 scopus 로고    scopus 로고
    • Quantum spin dynamics: VIII. The master constraint
    • Thiemann T 2006 Quantum spin dynamics: VIII. The master constraint Class. Quantum Grav. 23 2249-66 (Preprint gr-qc/0510011)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.7 , pp. 2249-2266
    • Thiemann, T.1
  • 31
    • 32344435173 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: I. General framework
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: I. General framework Class. Quantum Grav. 23 1025-66 (Preprint gr-qc/0411138)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1025-1066
    • Dittrich, B.1    Thiemann, T.2
  • 32
    • 32344452705 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems Class. Quantum Grav. 23 1067-88 (Preprint gr-qc/0411139)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1067-1088
    • Dittrich, B.1    Thiemann, T.2
  • 33
    • 32344438307 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: III. SL(2R) models
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: III. SL(2R) models Class. Quantum Grav. 23 1089-120 (Preprint gr-qc/0411140)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1089-1120
    • Dittrich, B.1    Thiemann, T.2
  • 34
    • 32344452822 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: IV. Free field theories
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: IV. Free field theories Class. Quantum Grav. 23 1121-42 (Preprint gr-qc/0411141)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1121-1142
    • Dittrich, B.1    Thiemann, T.2
  • 35
    • 32344445853 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: V. Interacting field theories
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: V. Interacting field theories Class. Quantum Grav. 23 1143-62 (Preprint gr-qc/0411142)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1143-1162
    • Dittrich, B.1    Thiemann, T.2
  • 36
    • 33644745123 scopus 로고    scopus 로고
    • Complexifier coherent states for canonical quantum general relativity
    • Thiemann T 2006 Complexifier coherent states for canonical quantum general relativity Class. Quantum Grav. 23 2063-118 (Preprint gr-qc/0206037)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.6 , pp. 2063-2118
    • Thiemann, T.1
  • 37
    • 0035604034 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamic limit
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamic limit Class. Quantum Grav. 18 4997-5033 (Preprint hep-th/0005235)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.23 , pp. 4997-5033
    • Thiemann, T.1    Winkler, O.2
  • 38
    • 0031586984 scopus 로고    scopus 로고
    • On diffeomorphism invariance for lattice theories
    • Corichi A and Zapata J A 1997 On diffeomorphism invariance for lattice theories Nucl. Phys. B 493 475-90 (Preprint gr-qc/9611034)
    • (1997) Nucl. Phys. , vol.493 , Issue.1-2 , pp. 475-490
    • Corichi, A.1    Zapata, J.A.2
  • 39
    • 0000182313 scopus 로고
    • A lattice approach to spinorial quantum gravity
    • Renteln P and Smolin L 1989 A lattice approach to spinorial quantum gravity Class. Quantum Grav. 6 275-94
    • (1989) Class. Quantum Grav. , vol.6 , Issue.3 , pp. 275-294
    • Renteln, P.1    Smolin, L.2
  • 40
    • 0348194815 scopus 로고    scopus 로고
    • On the diffeomorphism commutators of lattice quantum gravity
    • Loll R 1998 On the diffeomorphism commutators of lattice quantum gravity Class. Quantum Grav. 15 799-809 (Preprint gr-qc/9708025)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 799-809
    • Loll, R.1
  • 41
    • 0000390311 scopus 로고    scopus 로고
    • Lattice knot theory and quantum gravity in the loop representation
    • Fort H, Gambini R and Pullin J 1997 Lattice knot theory and quantum gravity in the loop representation Phys. Rev. D 56 2127-43 (Preprint gr-qc/9608033)
    • (1997) Phys. Rev. , vol.56 , Issue.4 , pp. 2127-2143
    • Fort, H.1    Gambini, R.2    Pullin, J.3
  • 42
    • 0035833231 scopus 로고    scopus 로고
    • Coherent states for canonical quantum general relativity and the infinite tensor product extension
    • Sahlmann H, Thiemann T and Winkler O 2001 Coherent states for canonical quantum general relativity and the infinite tensor product extension Nucl. Phys. B 606 401-40 (Preprint gr-qc/0102038)
    • (2001) Nucl. Phys. , vol.606 , Issue.1-2 , pp. 401-440
    • Sahlmann, H.1    Thiemann, T.2    Winkler, O.3
  • 43
    • 0007020922 scopus 로고
    • Discreteness of volume and area in quantum gravity
    • Rovelli C and Smolin L 1995 Discreteness of volume and area in quantum gravity Nucl. Phys. B 442 593
    • (1995) Nucl. Phys. , vol.442 , Issue.3 , pp. 593
    • Rovelli, C.1    Smolin, L.2
  • 44
    • 0001094459 scopus 로고
    • Discreteness of volume and area in quantum gravity
    • Rovelli C and Smolin L 1995 Discreteness of volume and area in quantum gravity Nucl. Phys. B 456 734 (erratum)
    • (1995) Nucl. Phys. , vol.456 , pp. 734
    • Rovelli, C.1    Smolin, L.2
  • 45
    • 0001037369 scopus 로고    scopus 로고
    • Quantum theory of geometry: II. Volume operators
    • Ashtekar A and Lewandowski J 1997 Quantum theory of geometry: II. Volume operators Adv. Theor. Math. Phys. 1 388-429
    • (1997) Adv. Theor. Math. Phys. , vol.1 , pp. 388-429
    • Ashtekar, A.1    Lewandowski, J.2
  • 46
    • 0032379628 scopus 로고    scopus 로고
    • Closed formula for the matrix elements of the volume operator in canonical quantum gravity
    • Thiemann T 1998 Closed formula for the matrix elements of the volume operator in canonical quantum gravity J. Math. Phys. 39 3347-71 (Preprint gr-qc/9606091)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3347-3371
    • Thiemann, T.1
  • 47
    • 32344450151 scopus 로고    scopus 로고
    • Simplification of the spectral analysis of the volume operator in loop quantum gravity
    • Brunnemann J and Thiemann T 2006 Simplification of the spectral analysis of the volume operator in loop quantum gravity Class. Quantum Grav. 23 1289-346 (Preprint gr-qc/0405060)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1289-1346
    • Brunnemann, J.1    Thiemann, T.2
  • 48
    • 31644432000 scopus 로고    scopus 로고
    • Towards the QFT on curved spacetime limit of QGR: 1. A general scheme
    • Sahlmann H and Thiemann T 2006 Towards the QFT on curved spacetime limit of QGR: 1. A general scheme Class. Quantum Grav. 23 867-908 (Preprint gr-qc/0207030)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.3 , pp. 867-908
    • Sahlmann, H.1    Thiemann, T.2
  • 49
    • 31644434541 scopus 로고    scopus 로고
    • Towards the QFT on curved spacetime limit of QGR: 2. A concrete implementation
    • Sahlmann H and Thiemann T 2006 Towards the QFT on curved spacetime limit of QGR: 2. A concrete implementation Class. Quantum Grav. 23 909-54 (Preprint gr-qc/0207031)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.3 , pp. 909-954
    • Sahlmann, H.1    Thiemann, T.2
  • 50
    • 34247891504 scopus 로고    scopus 로고
    • Algebraic quantum gravity (AQG): II. Semiclassical analysis
    • Giesel K and Thiemann T 2007 Algebraic quantum gravity (AQG): II. Semiclassical analysis Class. Quantum Grav. 24 2499-564 (Preprint gr-qc/0607100)
    • (2007) Class. Quantum Grav. , vol.24 , pp. 2499-2564
    • Giesel, K.1    Thiemann, T.2
  • 51
    • 34247853206 scopus 로고    scopus 로고
    • Algebraic quantum gravity (AQG): III. Semiclassical perturbation theory
    • Giesel K and Thiemann T 2007 Algebraic quantum gravity (AQG): III. Semiclassical perturbation theory Class. Quantum Grav. 24 2565-88 (Preprint gr-qc/0607101)
    • (2007) Class. Quantum Grav. , vol.24 , pp. 2565-2588
    • Giesel, K.1    Thiemann, T.2
  • 52
    • 0034345385 scopus 로고    scopus 로고
    • Statistical Lorentzian geometry and the closeness of Lorentzian manifolds
    • Bombelli L 2000 Statistical Lorentzian geometry and the closeness of Lorentzian manifolds J. Math. Phys. 41 6944-58 (Preprint gr-qc/0002053)
    • (2000) J. Math. Phys. , vol.41 , Issue.10 , pp. 6944-6958
    • Bombelli, L.1
  • 53
    • 25444496796 scopus 로고    scopus 로고
    • Semiclassical quantum gravity: Statistics of combinatorial Riemannian geometries
    • Bombelli L, Corichi A and Winkler O 2005 Semiclassical quantum gravity: statistics of combinatorial Riemannian geometries Ann. Phys. 14 499-519 (Preprint gr-qc/0409006)
    • (2005) Ann. Phys. , vol.14 , Issue.8 , pp. 499-519
    • Bombelli, L.1    Corichi, A.2    Winkler, O.3
  • 54
    • 33244486753 scopus 로고    scopus 로고
    • On (cosmological) singularity avoidance in loop quantum gravity
    • Brunnemann J and Thiemann T 2006 On (cosmological) singularity avoidance in loop quantum gravity Class. Quantum Grav. 23 1395-428 (Preprint gr-qc/0505032)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.5 , pp. 1395-1428
    • Brunnemann, J.1    Thiemann, T.2
  • 55
    • 33244473054 scopus 로고    scopus 로고
    • Unboundedness of triad-like operators in loop quantum gravity
    • Brunnemann J and Thiemann T 2006 Unboundedness of triad-like operators in loop quantum gravity Class. Quantum Grav. 23 1429-84 (Preprint gr-qc/0505033)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.5 , pp. 1429-1484
    • Brunnemann, J.1    Thiemann, T.2
  • 59
    • 33748101073 scopus 로고    scopus 로고
    • Consistency check on volume and triad operator quantisation in loop quantum gravity: I
    • Giesel K and Thiemann T 2006 Consistency check on volume and triad operator quantisation in loop quantum gravity: I Class. Quantum Grav. 23 5667-92 (Preprint gr-qc/0507036)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.18 , pp. 5667-5692
    • Giesel, K.1    Thiemann, T.2
  • 60
    • 33748096439 scopus 로고    scopus 로고
    • Consistency check on volume and triad operator quantisation in loop quantum gravity: II
    • Giesel K and Thiemann T 2006 Consistency check on volume and triad operator quantisation in loop quantum gravity: II Class. Quantum Grav. 23 5693-772 (Preprint gr-qc/0507037)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.18 , pp. 5693-5772
    • Giesel, K.1    Thiemann, T.2
  • 72
    • 32344436612 scopus 로고    scopus 로고
    • Reduced phase space quantization and Dirac observables
    • Thiemann T 2006 Reduced phase space quantization and Dirac observables Class. Quantum Grav. 23 1163-80 (Preprint gr-qc/0411031)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1163-1180
    • Thiemann, T.1
  • 74
    • 0037272589 scopus 로고    scopus 로고
    • Spin foam models for quantum gravity
    • Perez A 2003 Spin foam models for quantum gravity Class. Quantum Grav. 20 R43 (Preprint gr-qc/0301113)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.6 , pp. 43
    • Perez, A.1
  • 78
    • 0032556618 scopus 로고    scopus 로고
    • Nonperturbative Lorentzian quantum gravity and topology change
    • Ambjorn J and Loll R 1998 Nonperturbative Lorentzian quantum gravity and topology change Nucl. Phys. B 536 407-34 (Preprint hep-th/9805108)
    • (1998) Nucl. Phys. , vol.536 , Issue.1-2 , pp. 407-434
    • Ambjorn, J.1    Loll, R.2
  • 81
    • 0035830806 scopus 로고    scopus 로고
    • On the implementation of constraints through projection operators
    • Kempf A and Klauder J R 2001 On the implementation of constraints through projection operators J. Phys. A: Math. Gen. 34 1019 (Preprint quant-ph/0009072)
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.5 , pp. 1019
    • Kempf, A.1    Klauder, J.R.2
  • 82
    • 0001979597 scopus 로고    scopus 로고
    • Quantum theory of geometry: I. Area operators
    • Ashtekar A and Lewandowski J 1997 Quantum theory of geometry: I. Area operators Class. Quantum Grav. A 14 55-82 (Preprint gr-qc/9602046)
    • (1997) Class. Quantum Grav. , vol.14 , pp. 55-82
    • Ashtekar, A.1    Lewandowski, J.2
  • 83
    • 0032364977 scopus 로고    scopus 로고
    • A length operator for canonical quantum gravity
    • Thiemann T 1998 A length operator for canonical quantum gravity J. Math. Phys. 39 3372-92 (Preprint gr-qc/9606092)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3372-3392
    • Thiemann, T.1


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