Loop Space Hamiltonians And Field Theory Of Non-Critical Strings

Abstract

We consider the loop space representation of multi-matrix models. Explaining the origin of a time variable through stochastic quantization we make contact with recent proposals of Ishibashi and Kawai. We demonstrate how collective field theory with its loop space interactions generates a field theory of non-critical strings.

23 pages; phyzztex; Misprints corrected and Tex fonts added

References in corpus (4)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• Rational Theories of 2D Gravity from the Two-Matrix Model
• Strings with Discrete Target Space
• Combinatorial Solution of the Two-Matrix Model

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