Two-Dimensional Quantum Gravity in Temporal Gauge

Abstract

We propose a new type of gauge in two-dimensional quantum gravity. We investigate pure gravity in this gauge, and find that the system reduces to quantum mechanics of loop length $l$. Furthermore, we rederive the $c=0$ string field theory which was discovered recently. In particular, the pregeometric form of the Hamiltonian is naturally reproduced.

24 pages, 1 uuencoded figure, LaTeX file, YITP/K-1045. (Added detailed explanation and references.)

References in corpus (4)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• Scaling Exponents in Quantum Gravity near Two Dimensions
• Ultraviolet Stable Fixed Point and Scaling Relations in 2+$\epsilon$ Dimensional Quantum Gravity
• String Field Theory of Noncritical Strings

Cited by in corpus (17)

• Holographic and Wilsonian Renormalization Groups
• On the fractal structure of two-dimensional quantum gravity
• The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
• Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
• Quantum geometry of 2d gravity coupled to unitary matter
• Geometrical Interpretation of the KPZ Exponents
• The quantum space-time of c=-2 gravity
• A Background Independent Formulation of Noncritical String Theory
• A geometric approach to free variable loop equations in discretized theories of 2D gravity
• The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity Coupled to Ising Minimal Matter
• Temporal-gauge String Field with Open Strings
• Integrability of Schwinger-Dyson Equations in 2D Quantum Gravity and c < 1 Non-critical String Field Theory
• Baby universes in 2d and 4d theories of quantum gravity
• The Quantum Spacetime of c>0 2d Gravity
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes
• A local induced action for the noncritical string
• On the validity of ADM formulation in 2D quantum gravity