One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity

Abstract

A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in the conformal gauge. Some technical problems which appear in the calculations are discussed. An interpretation of the theory as a particular D=2 higher-derivative $\sigma$-model is given. For a specific case of higher-derivative 2D dilaton gravity, which is one loop multiplicatively renormalizable, static configurations corresponding to black holes are shown to exist.

12 pages, LaTeX file

References in corpus (4)

• Dilaton Gravity and No-Hair Theorem in Two Dimensions
• Higher spins dynamics in the closed string theory
• One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes
• One-loop Vilkovisky-DeWitt Counterterms for 2D Gravity plus Scalar Field Theory

Cited by in corpus (8)

• On Black Holes in the Theory of Dilatonic Gravity Coupled to a Scalar Field
• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Massive fields dynamics in open bosonic string theory
• DILATONIC GRAVITY NEAR TWO DIMENSIONS AND ASYMPTOTIC FREEDOM OF THE GRAVITATIONAL COUPLING CONSTANT
• Biharmonic Conformal Field Theories
• An Approach to Quantum 2D Gravity
• Quantum reparametrizations in the two-dimensional gravity: a look from 2+$\epsilon$ dimensions
• 2D $R^2$ gravity in weak coupling limit