Approaches to Quantum Gravity

12 C. Rovelli[20] S. W. Hawking, “Quantum cosmology”, in Relativity, Groups and Topology, LesHouches Session XL, B. DeWitt and R. Stora, eds. (North Holland, Amsterdam,1984).[21] K. Kuchar, “Canonical methods of quantization”, in Oxford 1980, Proceedings,Quantum Gravity 2 (Oxford University Press, Oxford, 1984).[22] C. J. Isham, Topological and global aspects of quantum theory, in Relativity Groupsand Topology. Les Houches 1983, B. S. DeWitt and R. Stora, eds. (North Holland,Amsterdam, 1984), pp. 1059–1290.[23] C. J. Isham, “Quantum gravity: an overview”, in Oxford 1980, Proceedings,Quantum Gravity 2 (Oxford University Press, Oxford, 1984).[24] C. J. Isham, 1997, “Structural problems facing quantum gravity theory”, inProceedings of the 14th International Conference on General Relativity andGravitation, M. Francaviglia, G. Longhi, L. Lusanna and E. Sorace, eds., (WorldScientific, Singapore, 1997), pp 167–209.[25] M. B. Green, J. Schwarz, E. Witten, Superstring Theory (Cambridge UniversityPress, Cambridge, 1987).[26] J. Polchinski, String Theory (Cambridge University Press, Cambridge, 1998).[27] T. Thiemann, Introduction to Modern Canonical Quantum General Relativity,(Cambridge University Press, Cambridge, in the press).[28] A. Ashtekar, J. Lewandowski, “Background independent quantum gravity: A statusreport”, Class. Quant. Grav. 21 (2004), R53–R152.[29] C. Rovelli, L. Smolin, “Loop space representation for quantum general relativity,Nucl. Phys. B331 (1990), 80.[30] C. Rovelli, L. Smolin, “Knot theory and quantum gravity”, Phys. Rev. Lett. 61(1988), 1155.[31] A. Perez, “Spin foam models for quantum gravity”, Class. Quantum Grav. 20(2002), gr-qc/0301113.[32] A. Connes, Non Commutative Geometry (Academic Press, New York, 1994).[33] R. Loll, “Discrete approaches to quantum gravity in four dimensions”, Liv. Rev. Rel.1 (1998), 13, http://www.livingreviews.org/lrr-1998-13.[34] C. Rovelli, “A dialog on quantum gravity”, International Journal of Modern Physics12 (2003), 1, hep-th/0310077.[35] L. Smolin, “How far are we from the quantum theory of gravity?” (2003),hep-th/0303185.[36] C. Callender, H. Huggett, eds, Physics Meets Philosophy at the Planck Scale(Cambridge University Press, 2001).[37] L. Smolin, Three Roads to Quantum Gravity (Oxford University Press, 2000).[38] C. Rovelli, “Halfway through the woods”, in The Cosmos of Science, J. Earman andJ. D. Norton, eds. (University of Pittsburgh Press and Universitäts. Verlag-Konstanz,1997).[39] C. Rovelli, “The century of the incomplete revolution: searching for generalrelativistic quantum field theory”, J. Math. Phys., Special Issue 2000 41(2000), 3776.