Quantum gravity in 2+1 Dimensions /
Carlip, Steven 1953-
Quantum gravity in 2+1 Dimensions / Quantum gravity in two + one dimensions Steven Carlip. - Cambridge ; New York : Cambridge University Press, 1998. - xiii, 276 p. : ill. ; 26 cm. - Cambridge monographs on mathematical physics .
Includes bibliographical references (p. 250-266) and index.
1. Why (2+1)-dimensional gravity?; 2. Classical general relativity in 2+1 dimensions; 3. A field guide to the (2+1)-dimensional spacetimes; 4. Geometric structures and Chern-Simons theory; 5. Canonical quantization in reduced phase space; 6. The connection representation; 7. Operator algebras and loops; 8. The Wheeler-DeWitt equation; 9. Lorentzian path integrals; 10. Euclidian path integrals and quantum cosmology; 11. Lattice methods; 12. The (2+1)-dimensional black hole; 13. Next steps; Appendix A. The topology of manifolds; Appendix B. Lorentzian metrics and causal structure; Appendix C. Differential geometry and fiber bundles; References; Index.
A survey of (2+1)-dimensional quantum gravity. The book emphasizes the "quantum cosmology" of closed universes and the quantum mechanics of the (2+1)-dimensional black hole. It compares and contrasts a variety of approaches, and examines what they imply for a realistic theory of quantum gravity. (Cambridge Monographs on Mathematical Physics)
0521564085
Quantum gravity.
General relativity (Physics)
Space and time.
QC178 / .C185 1998
530.14/3
Quantum gravity in 2+1 Dimensions / Quantum gravity in two + one dimensions Steven Carlip. - Cambridge ; New York : Cambridge University Press, 1998. - xiii, 276 p. : ill. ; 26 cm. - Cambridge monographs on mathematical physics .
Includes bibliographical references (p. 250-266) and index.
1. Why (2+1)-dimensional gravity?; 2. Classical general relativity in 2+1 dimensions; 3. A field guide to the (2+1)-dimensional spacetimes; 4. Geometric structures and Chern-Simons theory; 5. Canonical quantization in reduced phase space; 6. The connection representation; 7. Operator algebras and loops; 8. The Wheeler-DeWitt equation; 9. Lorentzian path integrals; 10. Euclidian path integrals and quantum cosmology; 11. Lattice methods; 12. The (2+1)-dimensional black hole; 13. Next steps; Appendix A. The topology of manifolds; Appendix B. Lorentzian metrics and causal structure; Appendix C. Differential geometry and fiber bundles; References; Index.
A survey of (2+1)-dimensional quantum gravity. The book emphasizes the "quantum cosmology" of closed universes and the quantum mechanics of the (2+1)-dimensional black hole. It compares and contrasts a variety of approaches, and examines what they imply for a realistic theory of quantum gravity. (Cambridge Monographs on Mathematical Physics)
0521564085
Quantum gravity.
General relativity (Physics)
Space and time.
QC178 / .C185 1998
530.14/3