The Quantization of Anomalous Gauge Field Theory and BRST-invariant Models of Two Dimensional Quantum Gravity

Abstract

We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a series of classically equivalent theories which are non equivalent at quantum level. We prove that these classical theories are all consistent with the BRST invariance of the original gauge symmetry with suitably augmented field content. As an example of such a scenario, we discuss the class of physically distinct models of two dimensional induced gravity which are a generalization of the David-Distler-Kawai model.

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References in corpus (14)

• Scaling Exponents in Quantum Gravity near Two Dimensions
• Ultraviolet Stable Fixed Point and Scaling Relations in 2+$\epsilon$ Dimensional Quantum Gravity
• Physical States in Matter-Coupled Dilaton Gravity
• Quantum $R^2$ Gravity in Two Dimensions
• Hiding Anomalies
• Area-preserving structure of 2d-gravity
• Another View on Massless Matter-Gravity Fields in Two Dimensions
• Anomalies and Wess-Zumino Terms in an Extended, Regularized Field-Antifield Formalism
• Weyl Invariance and Black Hole Evaporation
• Gauge Equivalence in Two--Dimensional Gravity
• Black Hole Radiation (with and) without Weyl Anomaly
• Faddeev-Popov method for anomalous quasigroups
• All-Order Quantum Gravity in Two Dimensions
• A generalized model for two dimensional quantum gravity and dynamics of random surfaces for d>1