메뉴 건너뛰기




Volumn 7, Issue 2, 2003, Pages 233-268

Mathematical structure of loop quantum cosmology

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77950334889     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2003.v7.n2.a2     Document Type: Article
Times cited : (764)

References (44)
  • 1
    • 4243237345 scopus 로고    scopus 로고
    • Inverse scale factor in isotropic quantum geometry
    • M. Bojowald, Inverse scale factor in isotropic quantum geometry, Phys. Rev., D64 (2001), 084018.
    • (2001) Phys. Rev. , vol.D64 , pp. 084018
    • Bojowald, M.1
  • 2
    • 0035529336 scopus 로고    scopus 로고
    • Loop quantum cosmology IV: Discrete time evolution Class
    • M. Bojowald, Loop quantum cosmology IV: Discrete time evolution Class. Quant. Grav., 18 (2001), 1071-1088.
    • (2001) Quant. Grav. , vol.18 , pp. 1071-1088
    • Bojowald, M.1
  • 3
    • 17544403102 scopus 로고    scopus 로고
    • Absence of singularity in loop quantum cosmology
    • M. Bojowald, Absence of singularity in loop quantum cosmology, Phys. Rev. Lett., 86 (2001), 5227-5230.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5227-5230
    • Bojowald, M.1
  • 4
    • 39249083464 scopus 로고    scopus 로고
    • Dynamical initial conditions in quantum cosmology
    • M. Bojowald, Dynamical initial conditions in quantum cosmology, Phys. Rev. Lett., 87 (2001), 121301.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 121301
    • Bojowald, M.1
  • 5
    • 0037165006 scopus 로고    scopus 로고
    • Inflation from quantum geometry
    • M. Bojowald, Inflation from quantum geometry, Phys. Rev. Lett., 89 (2002), 261301.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 261301
    • Bojowald, M.1
  • 6
    • 0043037241 scopus 로고    scopus 로고
    • Quantization ambiguities in isotropic quantum geometry
    • M. Bojowald, Quantization ambiguities in isotropic quantum geometry, Class. Quantum Grav., 19 (2002), 5113-5130.
    • (2002) Class. Quantum Grav. , vol.19 , pp. 5113-5130
    • Bojowald, M.1
  • 7
    • 0038504450 scopus 로고    scopus 로고
    • Homogeneous loop quantum cosmology
    • M. Bojowald, Homogeneous loop quantum cosmology, Class. Quantum Grav., 20 (2003), 2595-2615.
    • (2003) Class. Quantum Grav. , vol.20 , pp. 2595-2615
    • Bojowald, M.1
  • 8
    • 33845532740 scopus 로고
    • Representation of the holonomy algebras of gravity and non-Abelian gauge theories
    • A. Ashtekar and C. J. Isham, Representation of the holonomy algebras of gravity and non-Abelian gauge theories, Class. Quant. Grav., 9 (1992), 1433-1467.
    • (1992) Class. Quant. Grav. , vol.9 , pp. 1433-1467
    • Ashtekar, A.1    Isham, C.J.2
  • 10
    • 0010948708 scopus 로고
    • Generalized J.C. measures in gauge theory
    • J.C. Baez, J.C. Generalized measures in gauge theory, Lett. Math. Phys., 31 (1994), 213-223.
    • (1994) Lett. Math. Phys. , vol.31 , pp. 213-223
    • Baez, J.C.1
  • 11
    • 21844499072 scopus 로고
    • On the support of the Ashtekar-Lewandowski measure
    • D. Marolf and J. Mourão, On the support of the Ashtekar-Lewandowski measure, Commun. Math. Phys., 170 (1995), 583-606.
    • (1995) Commun. Math. Phys. , vol.170 , pp. 583-606
    • Marolf, D.1    Mourão, J.2
  • 12
    • 33745539460 scopus 로고
    • Projective techniques and functional integration
    • A. Ashtekar and J. Lewandowski, Projective techniques and functional integration, Jour. Math. Phys., 36 (1995), 2170-2191.
    • (1995) Jour. Math. Phys. , vol.36 , pp. 2170-2191
    • Ashtekar, A.1    Lewandowski, J.2
  • 13
    • 1542552153 scopus 로고
    • Differential geometry on the space of connections using projective techniques
    • A. Ashtekar and J. Lewandowski, Differential geometry on the space of connections using projective techniques, Jour. Geo. & Phys., 17 (1995), 191-230.
    • (1995) Jour. Geo. & Phys. , vol.17 , pp. 191-230
    • Ashtekar, A.1    Lewandowski, J.2
  • 14
    • 0000856078 scopus 로고    scopus 로고
    • (1996) 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., B380 (1996), 257-264.
    • (1996) Phys. Lett. , vol.B380 , pp. 257-264
    • Thiemann, T.1
  • 15
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Quantum spin dynamics (QSD), Class. Quant. Grav., 15 (1998), 839-873.
    • (1998) Class. Quant. Grav. , vol.15 , pp. 839-873
  • 16
    • 0032369376 scopus 로고    scopus 로고
    • QSD V : Quantum gravity as the natural regulator of matter quantum field theories
    • QSD V : Quantum gravity as the natural regulator of matter quantum field theories, Class. Quant. Grav., 15 (1998), 1281-1314.
    • (1998) Class. Quant. Grav. , vol.15 , pp. 1281-1314
  • 18
    • 23544453757 scopus 로고
    • New variables for classical and quantum gravity
    • A. Ashtekar, New variables for classical and quantum gravity, Phys. Rev. Lett., 57 (1986), 2244-2247.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2244-2247
    • Ashtekar, A.1
  • 19
    • 33644584965 scopus 로고
    • New Hamiltonian formulation of general relativity
    • New Hamiltonian formulation of general relativity, Phys. Rev., D36 (1987), 1587-1602.
    • (1987) Phys. Rev. , vol.D36 , pp. 1587-1602
  • 20
    • 0001979597 scopus 로고    scopus 로고
    • Quantum theory of geometry I: Area operators
    • A. Ashtekar and J. Lewandowski, Quantum theory of geometry I: Area operators, Class. Quant. Grav., 14 (1997), A55-A81.
    • (1997) Class. Quant. Grav. , vol.14
    • Ashtekar, A.1    Lewandowski, J.2
  • 21
    • 21844520846 scopus 로고
    • Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
    • A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, and T. Thiemann, Quantization of diffeomorphism invariant theories of connections with local degrees of freedom, Jour. Math. Phys., 36 (1995), 6456-6493.
    • (1995) Jour. Math. Phys. , vol.36 , pp. 6456-6493
    • Ashtekar, A.1    Lewandowski, J.2    Marolf, D.3    Mourão, J.4    Thiemann, T.5
  • 25
    • 0037278308 scopus 로고    scopus 로고
    • Quantum gravity, shadow states, and quantum mechanics
    • A. Ashtekar, S. Fairhurst and J. Willis, Quantum gravity, shadow states, and quantum mechanics, Class. Quantum Grav., 20 (2003), 1031-1062.
    • (2003) Class. Quantum Grav. , vol.20 , pp. 1031-1062
    • Ashtekar, A.1    Fairhurst, S.2    Willis, J.3
  • 26
    • 33744572565 scopus 로고
    • Spin networks and quantum gravity
    • C. Rovelli and L. Smolin, Spin networks and quantum gravity, Phys. Rev., D52 (1995), 5743-5759.
    • (1995) Phys. Rev. , vol.D52 , pp. 5743-5759
    • Rovelli, C.1    Smolin, L.2
  • 27
    • 0002444552 scopus 로고    scopus 로고
    • Spin networks in non-perturbative quantum gravity
    • 'The Interface of Knots and Physics', edited by Kauffman, L. (American Mathematical Society, Providence)
    • J. C. Baez, Spin networks in non-perturbative quantum gravity, in 'The Interface of Knots and Physics', edited by Kauffman, L. (American Mathematical Society, Providence, 1996) pp. 167-203.
    • (1996) Adv. Math. , pp. 167-203
    • Baez, J.C.1
  • 28
    • 0030577671 scopus 로고    scopus 로고
    • Spin networks in gauge theory
    • Spin networks in gauge theory, Adv. Math. 117 (1996), 253-272.
    • (1996) Adv. Math. , vol.117 , pp. 253-272
  • 29
    • 0036273244 scopus 로고    scopus 로고
    • Isotropic loop quantum cosmology
    • M. Bojowald, Isotropic loop quantum cosmology, Class. Quantum Grav., 19 (2002), 2717-2741.
    • (2002) Class. Quantum Grav. , vol.19 , pp. 2717-2741
    • Bojowald, M.1
  • 31
    • 68949199245 scopus 로고    scopus 로고
    • Quantum geometry of isolated horizons and black hole entropy
    • A. Ashtekar, J. Baez and K. Krasnov, Quantum geometry of isolated horizons and black hole entropy, Adv. Theo. Math. Phys., 4 (2000), 1-95.
    • (2000) Adv. Theo. Math. Phys. , vol.4 , pp. 1-95
    • Ashtekar, A.1    Baez, J.2    Krasnov, K.3
  • 33
    • 0035538316 scopus 로고    scopus 로고
    • The semiclassical limit of loop quantum cosmology
    • M. Bojowald, The semiclassical limit of loop quantum cosmology, Class. Quantum Grav., 18 (2002), L109-L116.
    • (2002) Class. Quantum Grav. , vol.18
    • Bojowald, M.1
  • 34
    • 0035532013 scopus 로고    scopus 로고
    • A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean Matrix Elements
    • M. Gaul and C. Rovelli, A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean Matrix Elements, Class. Quantum Grav., 18 (2001), 1593-1624.
    • (2001) Class. Quantum Grav. , vol.18 , pp. 1593-1624
    • Gaul, M.1    Rovelli, C.2
  • 35
    • 0007020922 scopus 로고
    • Discreteness of area and volume in quantum gravity
    • C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B442 (1995), 593-622.
    • (1995) Nucl. Phys. , vol.B442 , pp. 593-622
    • Rovelli, C.1    Smolin, L.2
  • 37
    • 21444443540 scopus 로고    scopus 로고
    • The complete spectrum of the area from recoupling theory in loop quantum gravity
    • S. Frittelli, L. Lehner and C. Rovelli, The complete spectrum of the area from recoupling theory in loop quantum gravity, Class. Quant. Grav. 13 (1996), 2921-2932.
    • (1996) Class. Quant. Grav. , vol.13 , pp. 2921-2932
    • Frittelli, S.1    Lehner, L.2    Rovelli, C.3
  • 39
    • 0032367604 scopus 로고    scopus 로고
    • QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity
    • T. Thiemann, QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity, Class. Quantum Grav. 15 (1998), 1207-1247.
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1207-1247
    • Thiemann, T.1
  • 40
    • 0034336175 scopus 로고    scopus 로고
    • Symmetry reduction for quantized diffeomorphism invariant theories of connections
    • M. Bojowald, and H. A. Kastrup, Symmetry reduction for quantized diffeomorphism invariant theories of connections, Class. Quantum Grav., 17 (2000), 3009-3043.
    • (2000) Class. Quantum Grav. , vol.17 , pp. 3009-3043
    • Bojowald, M.1    Kastrup, H.A.2
  • 41
    • 0034341301 scopus 로고    scopus 로고
    • Loop quantum cosmology: I. Kinematics
    • M. Bojowald, Loop quantum cosmology: I. Kinematics, Class. Quantum Grav., 17 (2001), 1489-1508.
    • (2001) Class. Quantum Grav. , vol.17 , pp. 1489-1508
    • Bojowald, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.