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Constrained systems: Dirac and post-Dirac quantisation

Date: 
Tuesday 1st November 2005 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 

I will first review Dirac's procedure of quantising (first class) constrained systems, discussing the mathematical structure that a quantisation should provide. I will then specialise to systems whose gauge group is a Lie group and address group averaging as a method of implementing the quantisation. The case of a noncompact gauge group, and the open questions therein, will be emphasised in view of its relevance for quantum gravity.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons