Power-law Behavior of Strings Scattered from Domain-wall at High Energies and Breakdown of their Linear Relations

TL;DR

This paper reveals that high-energy string scattering from a Domain-wall exhibits power-law behavior with Regge-pole structure, contrasting with typical exponential fall-off, and shows that linear relations among amplitudes break down in this context.

Contribution

It demonstrates the unique power-law high-energy scattering behavior of strings from Domain-walls and the breakdown of linear relations, highlighting a hybrid of string and field theory characteristics.

Findings

High-energy scattering amplitudes from Domain-walls follow a power-law with Regge-pole structure.

Linear relations among high-energy string scattering amplitudes break down for Domain-wall scatterings.

The results suggest stringy symmetries are responsible for softer exponential fall-off in typical string scatterings.

Abstract

In contrast to the common wisdom, we discover that, instead of the exponential fall-off of the form factors with Regge-pole structure, the high-energy scattering amplitudes of string scattered from Domain-wall behave as power-law with Regge-pole structure. This is to be compared with the well-known power-law form factors without Regge-pole structure of the D-instanton scatterings. This discovery makes Domain-wall scatterings an unique example of a hybrid of string and field theory scatterings. The calculation is done for bosonic string scatterings of arbitrary massive string states from D-24 brane. Moreover, we discover that the usual linear relations of high-energy string scattering amplitudes at each fixed mass level break down for the Domain-wall scatterings. This result gives a strong evidence that the existence of the infinite linear relations, or stringy symmetries, of high-energy string scattering amplitudes is responsible for the softer, exponential fall-off high-energy string scatterings than the power-law field theory scatterings.