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Volumn 23, Issue 4, 2006, Pages 1067-1088

Testing the master constraint programme for loop quantum gravity: II. Finite-dimensional systems

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EID: 32344452705     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/23/4/002     Document Type: Article
Times cited : (50)

References (48)
  • 2
    • 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 1025-65 (Preprint gr-qc/0411138)
    • (2006) Class. Quantum Grav. , vol.23 , pp. 1025-1065
    • Dittrich, B.1    Thiemann, T.2
  • 3
    • 32344438307 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: III. SL(2, R) models
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: III. SL(2, R) models Class. Quantum Grav. 23 1089-120 (Preprint gr-qc/0411140)
    • (2006) Class. Quantum Grav. , vol.23 , pp. 1089-1120
    • Dittrich, B.1    Thiemann, T.2
  • 4
    • 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 , pp. 1121-1142
    • Dittrich, B.1    Thiemann, T.2
  • 5
    • 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 , pp. 1143-1162
    • Dittrich, B.1    Thiemann, T.2
  • 6
    • 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
  • 7
    • 3042805820 scopus 로고    scopus 로고
    • Lectures on loop quantum gravity
    • Thiemann T 2003 Lectures on loop quantum gravity Lecture Notes Phys. 631 41-135 (Preprint gr-qc/0210094)
    • (2003) Lecture Notes Phys. , vol.631 , pp. 41-135
    • Thiemann, T.1
  • 8
    • 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
  • 12
    • 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
  • 13
    • 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
  • 14
    • 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
  • 15
    • 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
  • 16
    • 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
  • 17
    • 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
  • 18
    • 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
  • 19
    • 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
  • 20
    • 21844520846 scopus 로고
    • Quantization for diffeomorphism invariant theories of connections with local degrees of freedom
    • Ashtekar A, Lewandowski J, Marolf D, Mour ao J and Thiemann T 1995 Quantization for 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    Mour, Ao.J.4    Thiemann, T.5
  • 26
    • 0033541897 scopus 로고    scopus 로고
    • Universal procedure for enforcing quantum constraints
    • Klauder J 1999 Universal procedure for enforcing quantum constraints Nucl. Phys. B 547 397-412 (Preprint hep-th/9901010)
    • (1999) Nucl. Phys. , vol.547 , Issue.1-2 , pp. 397-412
    • Klauder, J.1
  • 27
    • 0001586789 scopus 로고    scopus 로고
    • Quantization of constrained systems
    • Klauder J 2001 Quantization of constrained systems Lecture Notes Phys. 572 143-82 (Preprint hep-th/0003297)
    • (2001) Lecture Notes Phys. , vol.572 , pp. 143-182
    • Klauder, J.1
  • 28
    • 0035830806 scopus 로고    scopus 로고
    • On the implementation of constraints through projection operators
    • Kempf A and Klauder J 2001 On the implementation of constraints through projection operators J. Phys. A: Math. Gen. 34 1019-36 (Preprint quant-ph/0009072)
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.5 , pp. 1019-1036
    • Kempf, A.1    Klauder, J.2
  • 31
    • 31644432000 scopus 로고    scopus 로고
    • Towards the QFT on curved spacetime limit of QGR: I. A general scheme
    • Sahlmann H and Thiemann T 2006 Towards the QFT on curved spacetime limit of QGR: I. A general scheme Class. Quantum Grav. 23 867 (Preprint gr-qc/0207030)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.3 , pp. 867
    • Sahlmann, H.1    Thiemann, T.2
  • 32
    • 31644434541 scopus 로고    scopus 로고
    • Towards the QFT on curved spacetime limit of QGR: II. A concrete implementation
    • Sahlmann H and Thiemann T 2006 Towards the QFT on curved spacetime limit of QGR: II. A concrete implementation Class. Quantum Grav. 23 909 (Preprint gr-qc/0207031)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.3 , pp. 909
    • Sahlmann, H.1    Thiemann, T.2
  • 33
    • 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
  • 34
    • 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
  • 36
    • 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
  • 37
    • 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
  • 38
    • 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
  • 39
    • 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
    • 32344433945 scopus 로고    scopus 로고
    • Teschl G 1999, 2002 Schrödinger Operators (Lecture Notes for a Course at the University Vienna) available at http://www.mat.univie.ac.at/∼gerald/ftp/book∼schroe/
    • (1999) Schrödinger Operators
    • Teschl, G.1


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