S-matrix for s-wave gravitational scattering

Abstract

In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix element is calculated explicitly. It is interpreted as scattering with formation of a virtual black hole state. As one novel feature we predict the gravitational decay of s-waves.

9 pages, 1 figure, added clarifying comments in the introduction, the conclusion, and the virtual black hole section

References in corpus (1)

• Quantum Dilaton Gravity in Two Dimensions with Matter

Cited by in corpus (21)

• Menagerie of AdS${}_2$ boundary conditions
• The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
• Anti-de Sitter holography for gravity and higher spin theories in two dimensions
• Rindler force at large distances
• Positive specific heat of the quantum corrected dilaton black hole
• An action for the exact string black hole
• Virtual Black Holes in Generalized Dilaton Theories (and Their Special Role in String Gravity)
• Quantization of 2D dilaton supergravity with matter
• Long time black hole evaporation with bounded Hawking flux
• Virtual black hole phenomenology from 2d dilaton theories
• Black Hole Thermodynamics and Hamilton-Jacobi Counterterm
• The Virtual Black Hole in 2d Quantum Gravity and its Relevance for the S-matrix
• Physics-to-gauge conversion at black hole horizons
• Effective Action and Hawking Flux from Covariant Perturbation Theory
• The Spherically Symmetric Standard Model with Gravity
• Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?
• The ultrarelativistic limit of 2D dilaton gravity and its energy momentum tensor
• Deformations of the Schwarzschild Black Hole
• Two-Dimensional Quantum Gravity with Boundary
• Classical and Quantum Dilaton Gravity in Two Dimensions with Fermions
• Local Hamiltonian for Spherically Symmetric Collapse: Geometrodynamics Approach