Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity

Details Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity

1991-09-11

arxiv.org/abs/hep-th/9109018v2

Nucl.Phys. B374 (1992) 496-510

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1016/0550-3213(92)90398-U

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.

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