Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory
Mariano Chernicoff, J. Antonio Garcia, Alberto Guijosa (ICN-UNAM)
TL;DR
This paper derives a semiclassical equation of motion for a composite quark in strongly-coupled N=4 super-Yang-Mills theory using AdS/CFT, incorporating radiation damping without unphysical solutions.
Contribution
It introduces a generalized Lorentz-Dirac equation for strongly-coupled gauge theories, extending classical radiation reaction concepts to a quantum field theory context.
Findings
Equation includes radiation damping effects.
No self-accelerating or pre-accelerating solutions.
Provides a covariant radiation rate formula.
Abstract
We derive a semiclassical equation of motion for a `composite' quark in strongly-coupled large-N_c N=4 super-Yang-Mills, making use of the AdS/CFT correspondence. The resulting non-linear equation incorporates radiation damping, and reduces to the standard Lorentz-Dirac equation for external forces that are small on the scale of the quark Compton wavelength, but has no self-accelerating or pre-accelerating solutions. From this equation one can read off a non-standard dispersion relation for the quark, as well as a Lorentz covariant formula for its radiation rate.
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