Gravitational scattering of massless scalars in QFT and superstring theory

TL;DR

This paper compares gravitational scattering amplitudes of massless scalars in quantum field theory and superstring theory, demonstrating their agreement and illustrating how gravity is integrated into superstring theory.

Contribution

It provides explicit calculations of scattering amplitudes in both frameworks and confirms their consistency, highlighting the incorporation of gravity in superstring theory.

Findings

Gravitational scattering amplitudes agree in QFT and superstring theory.

Derived graviton propagator and interaction vertices.

Calculated 3-point and 4-point scattering amplitudes for open and closed strings.

Abstract

In this paper we perform the calculation of the gravitational scattering amplitude for 4 massless scalars in quantum field theory and Type II superstring theory. We show that the results agree, providing an example of how gravity is incorporated in the superstring theory. During the calculation we quantize gravitational action to derive graviton propagator and interaction vertex with massless scalar. We also calculate general 3-point and 4-point scattering amplitudes in SST for open and closed massless strings in NS sector.