- Access by Xinjiang University
Strong-coupling quantum gravity. I. Solution in a particular gauge
Phys. Rev. D 26, 2645 – Published 15 November, 1982
DOI: https://doi.org/10.1103/PhysRevD.26.2645
Abstract
The strong-coupling limit of general relativity is quantized in a fixed gauge. An exact solution to the quantum field theory is given (it does not require any artifice such as a lattice), and the dynamical properties of the theory are discussed. The configuration space is closely related to the symmetric space SL(3,R)/SO(3), and this connection is exploited.
See Also
Strong-coupling quantum gravity. II. Solution without gauge fixing
Phys. Rev. D 28, 729 (1983)
References (50)
- C. J. Isham, Proc. R. Soc. London A351, 209 (1976)
- P. A. M. Dirac, Proc. R. Soc. London A246, 333 (1958)
- R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), p. 227
- J. R. Klauder, Commun. Math. Phys. 18, 307 (1970)
- J. R. Klauder, Acta. Phys. Austriaca Suppl. VIII, 227 (1971)
- J. R. Klauder, in Lectures in Theoretical Physics, edited by W. E. Brittin (Colorado Associated University Press, Boulder, 1973), Vol. 14B, p. 329
- C. Teitelboim, in Group Theoretical Methods in Physics (Springer Lecture Notes in Physics Vol. 94), edited by W. Beiglböck, A. Bohm, and E. Takasugi (Springer, Berlin, 1979), p. 362
- C. Teitelboim, Phys. Lett. 96B, 77 (1980)
- M. Henneaux, Bull. Soc. Math. Belg. 31, 49 (1979)
- C. Teitelboim, Ann. Phys. (N.Y.) 79, 542 (1973)
- S. W. Hawking, in Recent Developments in Gravitation, Cargèse, 1978, edited by M. Levy and S. Deser (Plenum, New York, 1979)
- J. R. Klauder, in Relativity, edited by M. S. Carmeli, S. I. Fickler, and L. Witten (Plenum, New York, 1970), p. 1
- J. R. Klauder and E. W. Aslaksen, Phys. Rev. D 2, 272 (1970)
- B. S. DeWitt, Phys. Rev. 160, 1113 (1967)
- P. W. Higgs, Phys. Rev. Lett. 1, 373 (1958) ibid.3, 66 (1959)
- J. A. Wheeler, in Analytic Methods in Mathematical Physics, edited by R. P. Gilbert and R. Newton (Gordon and Breach, New York, 1970)
- M. Pilati, Ph.D. thesis, Princeton University, 1980 (unpublished)
- R. F. Baierlein, D. H. Sharp, and J. A. Wheeler, Phys. Rev. 126, 1864 (1962)
- K. Kuchař, in Quantum Gravity II: A Second Oxford Symposium, edited by C. J. Isham, R. Penrose, and D. Sciama (Oxford University Press, Oxford, 1981) [36]
- C. Teitelboim, Univ. of Texas report, 1981 (unpublished)
- A. Komar, Phys. Rev. 153, 1385 (1967)
- T. Regge and C. Teitelboim, Ann. Phys. (N.Y.) 88, 286 (1974)
- B. S. DeWitt, Phys. Rep. 19C, 295 (1975)
- C. W. Misner, in Magic Without Magic, edited by J. R. Klauder (Freeman, San Francisco, 1972), p. 441
- A. Hanson, T. Regge, and C. Teitelboim, Constrained Hamiltonian Systems (Accademia Nazionale dei Lincei, Rome, 1976)
- M. Ryan, Hamiltonian Cosmology (Springer, Berlin, 1972)
- J. Goldstone and R. Jackiw, Phys. Lett. 74B, 81 (1978)
- A. G. Izergin, V. E. Korepin, M. A. Semenov-Tyan-Shanskii, and L. D. Faddeev, Teor. Mat. Fiz. 38, 3 (1979) [Theor. Math. Phys. 38, 1 (1979)]
- L. D. Faddeev and V. N. Popov, Usp. Fiz. Nauk 111, 427 (1973) [Sov. Phys. Usp. 16, 777 (1974)]
- E. S. Fradkin and G. A. Vilkovisky, CERN Report No. TH-2332, 1977 (unpublished)
- H. Araki, J. Math. Phys. 1, 492 (1960)
- J. R. Klauder, J. Math. Phys. 11, 609 (1970)
- G. C. Hegerfeldt and J. R. Klauder, Nuovo Cimento 19, 153 (1974)
- R. P. Treat, Phys. Rev. D 14, 1568 (1976)
- E. C. G. Stückelberg, Helv. Phys. Acta 15, 23 (1941)
- K. Kuchař, University of Utah report, 1981 (unpublished)
- S. Helgason, Differential Geometry and Symmetric Spaces (Academic, New York, 1962)
- S. Helgason, in Battelle Rencontres, edited by C. M. DeWitt and J. A. Wheeler (Benjamin, New York, 1968), p. 1
- R. Herman, Lie Groups for Physicists (Benjamin, New York, 1966)
- F. I. Karpelevic, in Transactions of the Moscow Mathematical Society—1965 (American Mathematical Society, Providence, Rhode Island, 1967), p. 51
- S. Helgason, Regional Conference Series of the American Mathematical Society 14, 1 (1972)
- G. D. Mostow, Mem. Am. Math. Soc. 14, 31 (1955)
- J. W. York, Phys. Rev. Lett. 28, 1082 (1972)
- A. Selberg, J. Ind. Math. Soc. 20, 47 (1956) H. Maas, 20, 117 (1956)
- V. N. Gribov, Nucl. Phys. B139, 1 (1978)
- E. Merzbacher, Quantum Mechanics (Wiley, New York, 1961)
- A. Ashtekar and A. Magnon, Proc. R. Soc. London A346, 375 (1975)
- D. Eardley, E. Liang, and R. Sachs, J. Math. Phys. 13, 99 (1972)
- V. A. Belinsky, I. M. Khalatnikov, and E. M. Lifshitz. Adv. Phys. 19, 525 (1970)
- M. Henneaux, report, 1979 (unpublished)