Re: Are gauge theories possibly approximations?

"Thomas Larsson" <[EMAIL PROTECTED]> schrieb im Newsbeitrag
news:[EMAIL PROTECTED]

> One should view the representation theory of the multi-dimensional
> Virasoro algebra as a method to associate true quantum reps to a given
> action, in a way which is manifestly background and foliation
> independent. A priori you can make any choice for the action that you
> like, e.g. Einstein+SM, as long as it has the relevant symmetries.

How exactly do you "associate" these reps to the action? I was trying to ask
that before, maybe I was expressing myself badly: For instance, I know how
to associate, say, the ADM constraints to the EH action and I know proposals
how to quantize them, which allow to consider the "quantum rep" of these
constraints. Can you demonstrate a similar procedure that shows how your
algebra turns up when quantizing the EH action?

Maybe I should also ask this question from a different angle: If it is clear
to you how your algebra describes, say, gravity, can you say something about
how the spacetime geometries look like that solve your constraints? Or maybe
at least explain what one would have to do in order to find out? Does your
QG theory have inflation, a cosmological constant, topology change, a
semiclassical limit? :-) I know that if you knew the answer you'd be busy
publishing it, but my point is: Can you give a hint of how one would _in
principle_ ask these questions given your algebra _alone_?