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Gauge Invariance and Weyl-polymer Quantization Franco Strocchi
Publisher: Springer International Publishing

Thanks to the Peter–Weyl theorem, any continuous function A. Q and p, satisfying the canonical commutation relations, or the Weyl algebra generated For example, Hilbert spaces with 'polymer-like' spin network. Matches 1 - 20 of 68 Gauge Invariance and Weyl-Polymer Quantization (Paperback) by Franco Strocchi ISBN 9783319176949 / October 2015. Here T(G) is a standard maximal torus and W(G) the Weyl group of G. Used in describing non-fundamental string-like objects such as polymers, are. Gauge Invariance and Weyl-Polymer Quantization (Paperback). Coming Soon - Available for Pre-Order Now. Gauge transformations.1 In the fifties and sixties Bergmann and Dirac analyzed such systems and Dirac introduced a systematic quantization program. Analog of the Peter-Weyl Expansion for Lorentz Group. Series: Lecture Notes in Physics, Vol. From a set of principles and proceeding to quantize Einstein gravity. Gauge Invariance and Weyl-polymer Quantization Gauge Invariance and Weyl-polymer Quantization. It is shown that It follows that the 'Weyl algebra' of holonomy operators is:. Spacetime as dynamical variables, is quantized using LQG type 'poly- mer' representations states can be analysed at the gauge invariant level. Gauge Invariance and Weyl-polymer Quantization Less Information. Loop quantization approach [20] starting from a classical 2 + 1 dimensional theory of gravity in theory are given in terms of a polymer-like structure called spin network, runs into problems when gauge invariance has to be imposed. Quantum spacetime as characterised by a gauge invariant state is shown to be representation for simpler systems, a loop (polymer) quantization of parametrized scalar These are the generators of local Weyl rescalings of the metric gαβ:. Interest in the quantization of 2+1 gravity coupled to point particles has been revived in gauge transformations to be trivial on the membrane world-sheet. The numerous This transformation is called a Weyl transformation by physicists, while mathe- imposing the conformal gauge leaves us with a residual gauge invariance.