| Speaker: | Alejandro Perez
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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 Wheeler-DeWitt equation which is
free of ultra-violet divergences. However, ambiguities associated to
the intermediate regularization procedure lead to an apparently
infinite set of possible theories. The absence of
an UV problem---the existence of well behaved regularization of the
constraints---is 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 ``point-splitting'' regularization of the non linear
functionals of the connection. This ambiguity is labelled by a
half-integer $m$ 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.
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| Talk: |
Transparencies, Recorded Talk
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