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arXiv · 0903.2047

Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory

Mariano Chernicoff·J. Antonio Garcia·Alberto Guijosa
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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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Mariano Chernicoff, J. Antonio Garcia, Alberto Guijosa. 2009-03-13. Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory. https://doi.org/10.1103/physrevlett.102.241601

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