Radiation Damping in a Non-Abelian Strongly-Coupled Gauge Theory

TL;DR

This paper models a composite quark in strongly-coupled N=4 SYM using AdS/CFT, deriving equations that describe radiation damping and non-standard dispersion relations in a relativistic framework.

Contribution

It introduces a string-theoretic approach to derive relativistic equations of motion for a dressed quark, including radiation damping effects, within a non-Abelian gauge theory.

Findings

Derived a relativistic equation of motion for the dressed quark.

Obtained a Lorentz covariant formula for radiation rate.

Identified a non-standard dispersion relation for the composite quark.

Abstract

We study a `dressed' or `composite' quark in strongly-coupled N=4 super-Yang-Mills (SYM), making use of the AdS/CFT correspondence. We show that the standard string dynamics nicely captures the physics of the quark and its surrounding quantum non-Abelian field configuration, making it possible to derive a relativistic equation of motion that incorporates the effects of radiation damping. From this equation one can deduce a non-standard dispersion relation for the composite quark, as well as a Lorentz covariant formula for its rate of radiation.