Recoiling D-branes

TL;DR

This paper introduces a new effective field theory approach to model the recoil of D-branes during elastic scattering with closed strings, capturing momentum transfer and dynamics in a non-relativistic regime.

Contribution

It presents a novel method using worldvolume scalar fields to describe D-brane recoil, incorporating closed string effects as source terms within the effective field theory.

Findings

Derived momentum conservation conditions including D-brane velocity

Formulated a non-relativistic recoil model for D-branes

Connected closed string scattering to D-brane dynamics

Abstract

We propose a new method to describe a recoiling D-brane that is elastically scattered by closed strings in the non-relativistic region. We utilize the low-energy effective field theory on the worldvolume of the D-brane, and the velocity of the D-brane is described by the time derivative of the expectation values of the massless scalar fields on the worldvolume. The effects of the closed strings are represented by a source term for the massless fields in this method. The momentum conservation condition between the closed strings and the D-brane is derived up to the relative sign of the momentum of the D-brane.