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- W2754250478 abstract "We now extend our treatment of geometrical quantization to the most physically desirable case of field theories exhibiting redundant groups of transformations. Quantum field theory and general relativity are both frameworks of this kind, with Lie and diffeomorphism gauge groups respectively. We first supplement Chap. 6’s account of time and background dependence in quantum field theory by outlining some further subtleties required for Part III’s more advanced discussion of Quantum Gravity, such as topological aspects and regularization. We then consider the Dirac quantization of some whole-universe models which thus exhibit the Frozen Formalism Problem too: canonical general relativity in all of plain geometrodynamical, affine geometrodynamical and loop formulations, as well as supersymmetric model counterparts. We end by arguing that while it would be technically convenient if quantization were a functorial prescription, this is unfortunately not the case in general." @default.
- W2754250478 created "2017-09-25" @default.
- W2754250478 creator A5035254527 @default.
- W2754250478 date "2017-01-01" @default.
- W2754250478 modified "2023-09-23" @default.
- W2754250478 title "Geometrical Quantization with Nontrivial . ii. Field Theories and GR" @default.
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- W2754250478 doi "https://doi.org/10.1007/978-3-319-58848-3_43" @default.
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