2,825 research outputs found
Flows for rectangular matrix models
Several new results on the multicritical behavior of rectangular matrix
models are presented. We calculate the free energy in the saddle point
approximation, and show that at the triple-scaling point, the result is the
same as that derived from the recursion formulae. In the triple-scaling limit,
we obtain the string equation and a flow equation for arbitrary multicritical
points. Parametric solutions are also examined for the limit of almost-square
matrix models. This limit is shown to provide an explicit matrix model
realization of the scaling equations proposed to describe open-closed string
theory.Comment: 13 pages, LaTeX, McGill/93-2
Experimental Challenges for Quantum Gravity
The existence of a new fundamental scale may lead to modified dispersion
relations for particles at high energies. Such modifications seem to be
realized with the Planck scale in certain descriptions of quantum gravity. We
apply effective field theory to this problem and identify dimension 5 operators
that would lead to cubic modifications of dispersion relations for Standard
Model particles. We also discuss other issues related to this approach
including various experimental bounds on the strength of these interactions.
Further we sketch a scenario where mixing of these operators with dimensions 3
and 4 due to quantum effects is minimal.Comment: QTS3 proceedings; review of hep-ph/0301124 plus extended discussio
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