On The Interaction Of D0-Brane Bound States And RR Photons

TL;DR

This paper investigates the interaction between D0-brane bound states and RR photons using world-line theory, deriving classical equations of motion and developing a perturbation framework to explore potential links to non-Abelian gauge theories.

Contribution

It introduces a world-line approach to analyze D0-brane interactions with RR fields, deriving classical dynamics and formulating a perturbation theory that suggests a connection to non-Abelian gauge theories.

Findings

Classical Lorentz-like equations of motion for D0-branes derived.

Perturbation theory for D0-brane and RR background interaction developed.

Indications of a possible correspondence between world-line theory and non-Abelian gauge theory.

Abstract

We consider the problem of the interaction between D0-brane bound state and 1-form RR photons by the world-line theory. Based on the fact that in the world-line theory the RR gauge fields depend on the matrix coordinates of D0-branes, the gauge fields also appear as matrices in the formulation. At the classical level, we derive the Lorentz-like equations of motion for D0-branes, and it is observed that the center-of-mass is colourless with respect to the SU(N) sector of the background. Using the path integral method, the perturbation theory for the interaction between the bound state and the RR background is developed. We discuss what kind of field theory may be corresponded to the amplitudes which are calculated by the perturbation expansion in world-line theory. Qualitative considerations show that the possibility of existence of a map between the world-line theory and the non-Abelian gauge theory is very considerable.