Effective Topological Theory for Gravitational Anyon Scatterings at Ultra-High Energies

TL;DR

This paper applies an effective topological theory to high-energy gravitational scattering in (2+1) dimensions, showing the Lagrangian reduces to boundary terms, and compares it with the eikonal approximation.

Contribution

It extends the effective topological approach to (2+1)D gravity with Chern-Simons terms, revealing the Lagrangian's boundary nature at high energies.

Findings

Lagrangian vanishes except for boundary contributions

Comparison with eikonal approximation confirms consistency

Provides a topological perspective on gravitational scattering

Abstract

The idea of the effective topological theory for high-energy scattering proposed by H. and E. Verlinde is applied to the $(2+1)$ dimensional gravity with Einstein action plus Chern-Simons terms. The calculational steps in the topological description are compared with the eikonal approximation. It is shown that the Lagrangian of the effective topological theory turns out to vanish except for boundary terms.