0 Ju n 20 08 GEOMETRIC QUANTIZATION FOR PROPER ACTIONS

Geometric Quantization for Proper Actions

We first introduce an invariant index for G-equivariant elliptic differential operators on a locally compact manifold M admitting a proper cocompact action of a locally compact group G. It generalizes the Kawasaki index for orbifolds to the case of proper cocompact actions. Our invariant index is used to show that an analog of the Guillemin-Sternberg geometric quantization conjecture holds if M...

ar X iv : 0 80 6 . 21 66 v 1 [ he p - ph ] 1 2 Ju n 20 08 The scalar sector in the Myers - Pospelov model

Abstract. We construct a perturbative expansion of the scalar sector in the Myers-Pospelov model, up to second order in the Lorentz violating parameter and taking into account its higher-order time derivative character. This expansion allows us to construct an hermitian positive-definite Hamiltonian which provides a correct basis for quantization. Demanding that the modified normal frequencies ...

4 Ju n 20 08 A new approach to the quantization of totally constrained systems

A new approach to the quantization of totally constrained systems. Abstract In this paper we present a new approach to the quantization which uses the semiclassical-quantum (SQC) correspondence to deduce the form of the wavefunction of the universe corresponding to a general totally constrained system. The implementation of the constraints can be seen as the breaking of a translational symmetry...

ua nt - p h / 97 06 04 0 v 1 1 8 Ju n 19 97 QUANTIZATION OF A PARTICLE IN A BACKGROUND YANG - MILLS FIELD

Two classes of observables defined on the configuration space of a particle are quantized, and the effects of the Yang-Mills field are discussed in the context of geometric quantization.

ar X iv : 0 80 6 . 46 34 v 1 [ he p - ex ] 3 0 Ju n 20 08 LPHE 2008 - 05 June 30 , 2008 B 0 – B 0 MIXING