 Speaker:  Prof. Rodolfo Gambini

Title:

Consistent discretizations of totally constrained systems 
Abstract: 
I describe the consistent discretization scheme for the
quantization of totally constrained systems and quantum gravity.
As a first example I analyze the canonical formalism for Regge
Calculus. I complete all the steps of the program for a
reparameterization invariant system composed by a microscopic
particle in a potential and a macroscopic clock. I define the
physical Hilbert space of the discrete totally constrained
theories, and I study the quantum evolution given by
conditional probabilities defined in terms of quantum magnitudes
associated to the clock and the system. I show how to recover the
standard quantum mechanical continuum limit for the microscopic
system.

Talk: 
Transparencies, Recorded Talk

 