1- Brane Sources for the Lightcone Worldsheet: Q-branion - {\bar Q}-branion Scattering to One Loop

TL;DR

This paper calculates one-loop scattering amplitudes for gauge fields interacting with 1-brane sources in lightcone gauge, resolving ambiguities and confirming infrared divergence cancellation, thus advancing the lightcone worldsheet formalism.

Contribution

It introduces a method to incorporate 1-brane sources into the lightcone worldsheet formalism and resolves previous off-shell calculation ambiguities.

Findings

Infrared divergences cancel in scattering probabilities.

One-loop branion scattering amplitudes are successfully computed.

The work supports the inclusion of 1-brane sources in lightcone quantization.

Abstract

This paper extends the study, initiated by Rozowsky and Thorn [1], of gauge fields in interaction with Dirac fields living on separated parallel 1-branes. In a lightcone description, replacing static point sources by 1-brane sources allows p^+ conservation to be maintained in their presence, which simplifies the lightcone quantization procedure. Here we calculate on-shell branion scattering amplitudes through 1 loop in lightcone gauge, and thereby resolve a puzzling ambiguity encountered in the off-shell calculations of [1]. We confirm that infrared divergences cancel in properly defined scattering probabilities. This work lays the groundwork for the incorporation of 1-brane sources in the lightcone worldsheet formalism.