Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter

Abstract

Performing an nonperturbative path integral for the geometric part of a large class of 2d theories without kinetic term for the dilaton field, the quantum effects from scalar matter fields are treated as a perturbation. When integrated out to two-loops they yield a correction to the Polyakov term which is still exact in the geometric part. Interestingly enough the effective action only experiences a renormalization of the dilaton potential.

15 pages

References in corpus (3)

• String Model with Dynamical Geometry and Torsion
• Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions

Cited by in corpus (18)

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• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• S-matrix for s-wave gravitational scattering
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle
• Absolute conservation law for black holes
• Supergravity in Two Spacetime Dimensions
• Universal conservation law and modified Noether symmetry in 2d models of gravity with matter
• Quantization of 2D dilaton supergravity with matter
• Two-Dilaton Theories in Two Dimensions from Dimensional Reduction
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor
• Generalized Supergravity in Two Dimensions
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• An Approach to Quantum 2D Gravity