Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory
High Energy Physics - Theory
2009-07-22 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.0903.2047,
title = {Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory},
author = {Mariano Chernicoff and J. Antonio Garcia and Alberto Guijosa},
journal= {arXiv preprint arXiv:0903.2047},
year = {2009}
}
Comments
4 pages; v2: added PACS, corrected typo in (15)