메뉴 건너뛰기




Volumn 286, Issue 5, 1997, Pages 271-348

Nonperturbative solutions for canonical quantum gravity: An overview

Author keywords

Ashtekar's formalism; BF theory; Spin network states; Topological field theory; Wheeler De Witt equation

Indexed keywords


EID: 0031188059     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(96)00051-8     Document Type: Review
Times cited : (14)

References (147)
  • 2
    • 24444467765 scopus 로고
    • M. Abe, A. Nakamichi and T. Ueno, Mod. Phys. Lett. A 9 (1994) 695; Phys. Rev. D 50 (1994) 7323.
    • (1994) Phys. Rev. D , vol.50 , pp. 7323
  • 7
    • 25044445662 scopus 로고
    • A. Ashtekar, Phys. Rev. Lett. 57 (1986) 2244; Phys. Rev. D 36 (1987) 295.
    • (1987) Phys. Rev. D , vol.36 , pp. 295
  • 16
    • 0010948708 scopus 로고
    • ed. D. Yetter (World Scientific, Singapore)
    • J.C. Baez, in: Quantum Topology, ed. D. Yetter (World Scientific, Singapore, 1994); Lett. Math. Phys. 31 (1994) 213.
    • (1994) Quantum Topology
    • Baez, J.C.1
  • 17
    • 0010948708 scopus 로고
    • J.C. Baez, in: Quantum Topology, ed. D. Yetter (World Scientific, Singapore, 1994); Lett. Math. Phys. 31 (1994) 213.
    • (1994) Lett. Math. Phys. , vol.31 , pp. 213
  • 19
    • 0002444552 scopus 로고    scopus 로고
    • Spin networks in nonperturbative quantum gravity
    • gr-qc/9504036. (American Mathematical Society, Providence, RI); Spin network states in gauge theory, gr-qc/9411007
    • J.C. Baez, Spin networks in Nonperturbative Quantum Gravity, gr-qc/9504036, in: Proc. Symp. in Applied Mathematics, Vol. 51 (American Mathematical Society, Providence, RI, 1996); Spin network states in gauge theory, gr-qc/9411007.
    • (1996) Proc. Symp. in Applied Mathematics , vol.51
    • Baez, J.C.1
  • 22
  • 23
    • 33750485765 scopus 로고
    • J.D. Bekenstein, Phys. Rev. D 7 (1973) 2333; S.W. Hawking, Nature 248 (1974) 30.
    • (1973) Phys. Rev. D , vol.7 , pp. 2333
    • Bekenstein, J.D.1
  • 24
    • 36949051230 scopus 로고
    • J.D. Bekenstein, Phys. Rev. D 7 (1973) 2333; S.W. Hawking, Nature 248 (1974) 30.
    • (1974) Nature , vol.248 , pp. 30
    • Hawking, S.W.1
  • 26
    • 0002851241 scopus 로고
    • M. Blau and G. Thompson, Phys. Lett. B 228 (1989) 64; Ann. Phys. 205 (1991); G. Horowitz, Comm. Math. Phys. 125 (1989) 417.
    • (1989) Phys. Lett. B , vol.228 , pp. 64
    • Blau, M.1    Thompson, G.2
  • 27
    • 0002851241 scopus 로고
    • M. Blau and G. Thompson, Phys. Lett. B 228 (1989) 64; Ann. Phys. 205 (1991); G. Horowitz, Comm. Math. Phys. 125 (1989) 417.
    • (1991) Ann. Phys. , vol.205
  • 28
    • 0013006018 scopus 로고
    • M. Blau and G. Thompson, Phys. Lett. B 228 (1989) 64; Ann. Phys. 205 (1991); G. Horowitz, Comm. Math. Phys. 125 (1989) 417.
    • (1989) Comm. Math. Phys. , vol.125 , pp. 417
    • Horowitz, G.1
  • 36
    • 0004182286 scopus 로고
    • ed. J.C. Baez (Clarendon Press, Oxford)
    • S. Carlip, in: Knots and Quantum Gravity, ed. J.C. Baez (Clarendon Press, Oxford, 1994).
    • (1994) Knots and Quantum Gravity
    • Carlip, S.1
  • 37
    • 22244459431 scopus 로고
    • S. Carlip, Phys. Rev. D 42 (1990) 2647; D 45 (1992) 3584; D 47 (1993) 4520.
    • (1990) Phys. Rev. D , vol.42 , pp. 2647
    • Carlip, S.1
  • 38
    • 22244459431 scopus 로고
    • S. Carlip, Phys. Rev. D 42 (1990) 2647; D 45 (1992) 3584; D 47 (1993) 4520.
    • (1992) D , vol.45 , pp. 3584
  • 39
    • 22244459431 scopus 로고
    • S. Carlip, Phys. Rev. D 42 (1990) 2647; D 45 (1992) 3584; D 47 (1993) 4520.
    • (1993) D , vol.47 , pp. 4520
  • 48
    • 4243457782 scopus 로고
    • Add. ibid. D 50 (1994) 2935
    • K. Ezawa, Phys. Rev. D 49 (1994) 5211; Add. ibid. D 50 (1994) 2935.
    • (1994) Phys. Rev. D , vol.49 , pp. 5211
    • Ezawa, K.1
  • 49
    • 21844486743 scopus 로고
    • K. Ezawa, Class. Quant. Grav. 12 (1995) 373; Int. J. Mod. Phys. A 10 (1995) 4139.
    • (1995) Class. Quant. Grav. , vol.12 , pp. 373
    • Ezawa, K.1
  • 50
    • 21844486743 scopus 로고
    • K. Ezawa, Class. Quant. Grav. 12 (1995) 373; Int. J. Mod. Phys. A 10 (1995) 4139.
    • (1995) Int. J. Mod. Phys. A , vol.10 , pp. 4139
  • 60
    • 0001131234 scopus 로고
    • ed. W.M. Goldman and A.R. Magid (American Mathematical Society, Providence)
    • W.M. Goldman, in: Geometry of Group Representations, ed. W.M. Goldman and A.R. Magid (American Mathematical Society, Providence, 1988); W.P. Thurston, The Geometry and Topology of 3-Manifolds (Princeton Univ. Press, Princeton, 1979).
    • (1988) Geometry of Group Representations
    • Goldman, W.M.1
  • 61
    • 0003746329 scopus 로고
    • Princeton Univ. Press, Princeton
    • W.M. Goldman, in: Geometry of Group Representations, ed. W.M. Goldman and A.R. Magid (American Mathematical Society, Providence, 1988); W.P. Thurston, The Geometry and Topology of 3-Manifolds (Princeton Univ. Press, Princeton, 1979).
    • (1979) The Geometry and Topology of 3-Manifolds
    • Thurston, W.P.1
  • 64
    • 85136559707 scopus 로고    scopus 로고
    • On the extended loop calculus
    • gr-qc/9512011, ed. A. Restuccia et al. U.S.B. (Caracas), to appear
    • J. Griego, On the extended loop calculus, gr-qc/9512011, in: Proc. LASSF II, Theoretical Physics '95, ed. A. Restuccia et al. U.S.B. (Caracas), to appear; Nucl. Phys. B 473 (1996) 291.
    • Proc. LASSF II, Theoretical Physics '95
    • Griego, J.1
  • 65
    • 0030570615 scopus 로고    scopus 로고
    • J. Griego, On the extended loop calculus, gr-qc/9512011, in: Proc. LASSF II, Theoretical Physics '95, ed. A. Restuccia et al. U.S.B. (Caracas), to appear; Nucl. Phys. B 473 (1996) 291.
    • (1996) Nucl. Phys. B , vol.473 , pp. 291
  • 69
    • 0003226710 scopus 로고    scopus 로고
    • The origin of black hole entropy in string theory
    • gr-qc/9604051, Seoul, Korea, to appear
    • G.T. Horowitz, The origin of black hole entropy in string theory, gr-qc/9604051, in: Proc. Pacific Conf. on Gravitation and Cosmology, Seoul, Korea (1996), to appear.
    • (1996) Proc. Pacific Conf. on Gravitation and Cosmology
    • Horowitz, G.T.1
  • 71
    • 0001104985 scopus 로고
    • V. Husain, Nucl. Phys. B 313 (1989) 711; B. Brügmann and J. Pullin, Nucl. Phys. B 363 (1991) 221.
    • (1989) Nucl. Phys. B , vol.313 , pp. 711
    • Husain, V.1
  • 73
  • 78
    • 0000168208 scopus 로고
    • L.H. Kauffman, Int. J. Mod. Phys. A 5 (1990) 93; B 6 (1992) 1765; Knots and Physics (World Scientific, Singapore, 1991).
    • (1990) Int. J. Mod. Phys. A , vol.5 , pp. 93
    • Kauffman, L.H.1
  • 79
    • 0011020937 scopus 로고
    • L.H. Kauffman, Int. J. Mod. Phys. A 5 (1990) 93; B 6 (1992) 1765; Knots and Physics (World Scientific, Singapore, 1991).
    • (1992) B , vol.6 , pp. 1765
  • 80
    • 0003462032 scopus 로고
    • World Scientific, Singapore
    • L.H. Kauffman, Int. J. Mod. Phys. A 5 (1990) 93; B 6 (1992) 1765; Knots and Physics (World Scientific, Singapore, 1991).
    • (1991) Knots and Physics
  • 83
    • 33744541191 scopus 로고
    • J. Kogut and L. Susskind, Phys. Rev. D 11 (1975) 395; W. Furmanski and A. Kolawa, Nucl. Phys. B 291 (1987) 594.
    • (1975) Phys. Rev. D , vol.11 , pp. 395
    • Kogut, J.1    Susskind, L.2
  • 84
    • 0000349210 scopus 로고
    • J. Kogut and L. Susskind, Phys. Rev. D 11 (1975) 395; W. Furmanski and A. Kolawa, Nucl. Phys. B 291 (1987) 594.
    • (1987) Nucl. Phys. B , vol.291 , pp. 594
    • Furmanski, W.1    Kolawa, A.2
  • 94
  • 96
    • 0030570697 scopus 로고    scopus 로고
    • S. Major and L. Smolin, Nucl. Phys. B 473 (1996) 267; R. Borissov, S. Major and L. Smolin, Class. Quant. Grav. 13 (1996) 3183.
    • (1996) Nucl. Phys. B , vol.473 , pp. 267
    • Major, S.1    Smolin, L.2
  • 98
    • 0000896688 scopus 로고
    • S. Mandelstam, Phys. Rev. 175 (1968) 1580; Yu.M. Makeenko and A.A. Migdal, Nucl. Phys. B 188 (1981) 269.
    • (1968) Phys. Rev. , vol.175 , pp. 1580
    • Mandelstam, S.1
  • 104
    • 0011026508 scopus 로고    scopus 로고
    • preprint IHES/M/90/28
    • G. Mess, preprint IHES/M/90/28.
    • Mess, G.1
  • 107
    • 36749118571 scopus 로고
    • Err. ibid. 17 (1976) 598
    • A. Pais and V. Rittenberg, J. Math. Phys. 16 (1975) 2062; Err. ibid. 17 (1976) 598.
    • (1975) J. Math. Phys. , vol.16 , pp. 2062
    • Pais, A.1    Rittenberg, V.2
  • 108
    • 0004195405 scopus 로고
    • ed. T. Bastin (Cambridge Univ. Press, Cambridge)
    • R. Penrose, in: Quantum Theory and Beyond, ed. T. Bastin (Cambridge Univ. Press, Cambridge, 1971).
    • (1971) Quantum Theory and Beyond
    • Penrose, R.1
  • 109
    • 0003981185 scopus 로고
    • Cambridge University Press, Cambridge, England
    • R. Penrose and W. Rindler, Spinors and Space-time (Cambridge University Press, Cambridge, England, 1980) Vol. 1.
    • (1980) Spinors and Space-time , vol.1
    • Penrose, R.1    Rindler, W.2
  • 117
    • 0001188730 scopus 로고
    • P. Renteln and L. Smolin, Class. Quant. Grav. 6 (1989) 275; P. Renteln, Class. Quant. Grav. 7 (1990) 493.
    • (1990) Class. Quant. Grav. , vol.7 , pp. 493
    • Renteln, P.1
  • 121
    • 0007020922 scopus 로고
    • C. Rovelli and L. Smolin, Nucl. Phys. B 442 (1995) 593; A. Ashtekar, C. Rovelli and L. Smolin, Phys. Rev. Lett. 69 (1992) 446.
    • (1995) Nucl. Phys. B , vol.442 , pp. 593
    • Rovelli, C.1    Smolin, L.2
  • 124
    • 51249173373 scopus 로고
    • J. Samuel, Pramãna. J. Phys. 28 (1987) L429; T. Jacobson and L. Smolin, Phys. Lett. B 196 (1987) 39.
    • (1987) Pramãna. J. Phys. , vol.28
    • Samuel, J.1
  • 129
    • 13844324329 scopus 로고
    • Err. ibid. B 364 (1995) 252
    • J.H. Schwarz, Phys. Lett. B 360 (1995) 13; Err. ibid. B 364 (1995) 252.
    • (1995) Phys. Lett. B , vol.360 , pp. 13
    • Schwarz, J.H.1
  • 130
    • 36749116491 scopus 로고
    • A. Sen, J. Math. Phys. 22 (1981) 1781; Phys. Lett. B 119 (1982) 89.
    • (1981) J. Math. Phys. , vol.22 , pp. 1781
    • Sen, A.1
  • 131
    • 36749116491 scopus 로고
    • A. Sen, J. Math. Phys. 22 (1981) 1781; Phys. Lett. B 119 (1982) 89.
    • (1982) Phys. Lett. B , vol.119 , pp. 89
  • 132
    • 0001513742 scopus 로고
    • A. Sen, Mod. Phys. Lett. A 10 (1995) 2081; A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 89; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591; E. Halyo, A. Rajaraman and L. Susskind, Phys. Lett. B 392 (1997) 319.
    • (1995) Mod. Phys. Lett. A , vol.10 , pp. 2081
    • Sen, A.1
  • 133
    • 0010951096 scopus 로고    scopus 로고
    • A. Sen, Mod. Phys. Lett. A 10 (1995) 2081; A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 89; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591; E. Halyo, A. Rajaraman and L. Susskind, Phys. Lett. B 392 (1997) 319.
    • (1996) Phys. Lett. B , vol.379 , pp. 89
    • Strominger, A.1    Vafa, C.2
  • 134
    • 0030605758 scopus 로고    scopus 로고
    • A. Sen, Mod. Phys. Lett. A 10 (1995) 2081; A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 89; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591; E. Halyo, A. Rajaraman and L. Susskind, Phys. Lett. B 392 (1997) 319.
    • (1996) Nucl. Phys. B , vol.472 , pp. 591
    • Callan, C.1    Maldacena, J.2
  • 135
    • 0041165174 scopus 로고    scopus 로고
    • A. Sen, Mod. Phys. Lett. A 10 (1995) 2081; A. Strominger and C. Vafa, Phys. Lett. B 379 (1996) 89; C. Callan and J. Maldacena, Nucl. Phys. B 472 (1996) 591; E. Halyo, A. Rajaraman and L. Susskind, Phys. Lett. B 392 (1997) 319.
    • (1997) Phys. Lett. B , vol.392 , pp. 319
    • Halyo, E.1    Rajaraman, A.2    Susskind, L.3
  • 136
    • 0004291828 scopus 로고
    • ed. J.P. Mercader, H. Solà and E. Verdaguer (World Scientific, Singapore)
    • L. Smolin, in: Quantum Gravity and Cosmology, ed. J.P. Mercader, H. Solà and E. Verdaguer (World Scientific, Singapore, 1992).
    • (1992) Quantum Gravity and Cosmology
    • Smolin, L.1
  • 137
    • 21844498579 scopus 로고
    • The Bekenstein bound, topological quantum field theory and pluralistic quantum cosmology, gr-qc/9508064.
    • L. Smolin, J. Math. Phys. 36 (1995) 6417; The Bekenstein bound, topological quantum field theory and pluralistic quantum cosmology, gr-qc/9508064.
    • (1995) J. Math. Phys. , vol.36 , pp. 6417
    • Smolin, L.1
  • 139
    • 22244460237 scopus 로고    scopus 로고
    • An account of transforms on Script A sign/Script G sign
    • gr-qc/9511049, talk given
    • T. Thiemann, An account of transforms on Script A sign/Script G sign, gr-qc/9511049, talk given at Workshop on Modern Methods in Classical and Quantum Gravity; Class. Quant. Grav. 13 (1996) 1383.
    • Workshop on Modern Methods in Classical and Quantum Gravity
    • Thiemann, T.1
  • 140
    • 22244460237 scopus 로고    scopus 로고
    • T. Thiemann, An account of transforms on Script A sign/Script G sign, gr-qc/9511049, talk given at Workshop on Modern Methods in Classical and Quantum Gravity; Class. Quant. Grav. 13 (1996) 1383.
    • (1996) Class. Quant. Grav. , vol.13 , pp. 1383
  • 142
    • 0003716055 scopus 로고    scopus 로고
    • gr-qc/9606089; Quantum spin dynamics II, gr-qc/9606090
    • T. Thiemann, Quantum spin dynamics (QSD), gr-qc/9606089; Quantum spin dynamics II, gr-qc/9606090.
    • Quantum Spin Dynamics (QSD)
    • Thiemann, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.