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

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

2009-03-12

arxiv.org/abs/0903.2047v2

Phys.Rev.Lett.102:241601,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; v2: added PACS, corrected typo in (15)

Scientific paper

10.1103/PhysRevLett.102.241601

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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