Chernicoff Mariano, García J Antonio, Güijosa Alberto
Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México Distrito Federal 04510, Mexico.
Phys Rev Lett. 2009 Jun 19;102(24):241601. doi: 10.1103/PhysRevLett.102.241601. Epub 2009 Jun 18.
We derive a semiclassical equation of motion for a "composite" quark in strongly coupled large-N_{c} N = 4 super Yang-Mills theory, making use of the anti-de Sitter space/conformal field theory correspondence. The resulting nonlinear 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 preaccelerating solutions. From this equation one can read off a nonstandard dispersion relation for the quark, as well as a Lorentz-covariant formula for its radiation rate.
利用反德西特空间/共形场论对应，我们推导了强耦合大Nc的N = 4超杨-米尔斯理论中“复合”夸克的半经典运动方程。所得的非线性方程包含辐射阻尼，在夸克康普顿波长尺度上较小的外力作用下，该方程简化为标准的洛伦兹-狄拉克方程，但没有自加速或预加速解。从这个方程可以读出夸克的一个非标准色散关系，以及其辐射率的洛伦兹协变公式。
