Speaker: Jonathan Engle
Title: A full quantum theory and its symmetry reduction
Abstract: In loop quantum cosmology, a key issue regards the relation of the reduced quantum model to the full quantum theory. In the ideal scenario, the reduced model is isomorphic to the ``symmetric sector'' of the full quantum theory. We look at the case of a toy model: an axisymmetric Klein-Gordon field. An important lesson from the analysis of this toy model is that there is more than one way to define the notion of ``symmetric sector'' at the quantum level. One of these notions of symmetry does achieve the desired commutation of quantization and reduction, in addition to having a number of other desireable properties. I will discuss the relation of this notion of symmetry to other possible notions, and discuss a couple different ways it can be generalized to non-linear theories.
Talk: Transparencies, Recorded Talk