A Tail of a Quark in N=4 SYM

Details A Tail of a Quark in N=4 SYM A Tail of a Quark in N=4 SYM

2009-06-08

arxiv.org/abs/0906.1592v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, no figures. v2: added brief clarification on string boundary conditions, version to be published in JHEP

Scientific paper

We study the dynamics of a `composite' or `dressed' quark in strongly-coupled large-N_c N=4 super-Yang-Mills, making use of the AdS/CFT correspondence. We show that the standard string dynamics nicely captures the physics of the quark and its surrounding 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. We explore the consequences of the equation in a few simple examples.

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