Dilaton Gravity in $2+\epsilon$ Dimensions

Abstract

Quantum theory of dilaton gravity is studied in $2+\epsilon$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/\epsilon$ singularity in the Liouville-dilaton propagator. This smooth behavior of the dilaton gravity theory in the $\epsilon \to 0$ limit solves the oversubtraction problem which afflicted the higher orders of the Einstein gravity in $2+\epsilon$ dimensions. As a nontrivial fixed point, we find a dilaton gravity action which can be transformed to a CGHS type action.

26 pages, TIT/HEP-254, STUPP-94-136

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Cited by in corpus (8)

• Higher Derivative Quantum Gravity with Gauss-Bonnet Term
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Conformal Quantum Gravity with the Gauss-Bonnet Term
• Superconformal Sigma Models in Higher Than Two Dimensions
• One-loop Effective Action for a Generic 2D Dilaton Gravity Theory
• DILATONIC GRAVITY NEAR TWO DIMENSIONS AND ASYMPTOTIC FREEDOM OF THE GRAVITATIONAL COUPLING CONSTANT
• Dilaton-Maxwell gravity with matter near two dimensions
• Quantum reparametrizations in the two-dimensional gravity: a look from 2+$\epsilon$ dimensions