D-Particle Feynman Graphs And Their Amplitudes

TL;DR

This paper explores the quantum traveling of D-particles, linking their joining-splitting processes to Feynman graphs, and introduces a Light-Cone formulation to analyze amplitudes and spectra in higher dimensions.

Contribution

It presents a novel Light-Cone approach to study D-particle interactions and their amplitudes in higher-dimensional theories, including the low energy limit and bound-state spectra.

Findings

Amplitudes correspond between $d$ and $d+2$ dimensions in Light-Cone frame.

A massless sector exists in the theory, relevant at low energies.

Spectrum for intermediate fields derived from constant relative distances.

Abstract

It is argued that quantum traveling of D-particles presents the ``joining-splitting'' processes of field theory Feynman graphs. The amplitudes in $d$ dimensions can be corresponded with those of a $d+2$ dimensional theory in the Light-Cone frame. It is shown that this Light-Cone formulation enables to study processes with arbitrary longitudinal momentum transfers. It is discussed that a massless sector exists which can be taken as the low energy limit. By taking the constant relative distance in the bound-states we find a spectrum for the intermediatory fields.