Generalized Lorentz-Dirac Equation for a Strongly Coupled Gauge Theory
Copyright policy )Generalized Lorentz-Dirac Equation for a Strongly Coupled Gauge Theory
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.
4 pages; v2: added PACS, corrected typo in (15)
High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, General Relativity and Quantum Cosmology, Yang-Mills and other gauge theories in quantum field theory
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