Area-preserving Structure and Anomalies in 1+1-dimensional Quantum Gravity

Abstract

We investigate the gauge-independent Hamiltonian formulation and the anomalous Ward identities of a matter-induced 1+1-dimensional gravity theory invariant under Weyl transformations and area-preserving diffeomorphisms, and compare the results to the ones for the conventional diffeomorphism-invariant theory. We find that, in spite of several technical differences encountered in the analysis, the two theories are essentially equivalent.

9 pages, LaTex

References in corpus (2)

• Area-preserving structure of 2d-gravity
• Canonical quantization approach to 2d gravity coupled to c<1 matter

Cited by in corpus (11)

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• Nambu-Goldstone Fields, Anomalies and WZ Terms
• Lorentz Anomaly and 1+1-Dimensional Radiating Black Holes
• Schwinger terms in Weyl-invariant and diffeomorphism-invariant 2-d scalar field theory
• KPZ Formulas for Weyl-Invariant Induced Gravity and Topologically Massive Gravity
• Super-Weyl Invariant 2D Supergravity, Anomaly and WZ Action