Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity
High Energy Physics - Theory
2009-10-22 v2
Abstract
We consider the stochastic quantization scheme for a non-perturbative stabilization of 2D quantum gravity and prove that it does not satisfy the KdV flow equations. It therefore differs from a recently suggested matrix model which allows real solutions to the KdV equations. The behaviour of the Fermi energy, the free energy and macroscopic loops in the stochastic quantization scheme are elucidated.
Keywords
Cite
@article{arxiv.hep-th/9109018,
title = {Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity},
author = {J. Ambjorn and C. V. Johnson and T. R. Morris},
journal= {arXiv preprint arXiv:hep-th/9109018},
year = {2009}
}
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17 pages