 Speaker:  Alejandro Perez

Title: 
The representation ambiguity in loop quantum gravity 
Abstract: 
One of the main achievements of loop quantum gravity is the consistent
quantization of the analog of the WheelerDeWitt equation which is
free of ultraviolet divergences. However, ambiguities associated to
the intermediate regularization procedure lead to an apparently
infinite set of possible theories. The absence of
an UV problemthe existence of well behaved regularization of the
constraintsis intimatelly linked with the ambiguities arising in
the quantum theory. Among these ambiguities there is the one associated
to the $SU(2)$ unitary representation used in the diffeomorphism
covariant ``pointsplitting'' regularization of the non linear
functionals of the connection. This ambiguity is labelled by a
halfinteger $m$ and, here, it is referred to as the {\em
$m$ambiguity}. I will ellaborate on this issue and show some results that
suggest that the degree of ambiguity is reduced when considering the
dynamics in the corresponding theory.

Talk: 
Transparencies, Recorded Talk

 