Generalized Lorentz-Dirac equation for a strongly coupled gauge theory

Area of Science:

• High Energy Physics
• Quantum Field Theory
• String Theory

Background:

• Strongly coupled large-N_c N=4 super Yang-Mills theory is a complex system with applications in various physics domains.
• The anti-de Sitter space/conformal field theory (AdS/CFT) correspondence provides a powerful tool for studying such theories.

Purpose of the Study:

• To derive a semiclassical equation of motion for a composite quark within strongly coupled large-N_c N=4 super Yang-Mills theory.
• To investigate the implications of the AdS/CFT correspondence on quark dynamics and radiation.

Main Methods:

• Utilizing the AdS/CFT correspondence to map the problem from the gauge theory to a gravitational description.
• Deriving a nonlinear equation of motion that incorporates radiation damping effects.

Main Results:

• A semiclassical equation of motion for composite quarks was successfully derived.
• The equation exhibits radiation damping and reduces to the Lorentz-Dirac equation for small external forces.
• Crucially, the derived equation avoids unphysical self-accelerating or pre-accelerating solutions.
• A nonstandard dispersion relation and a Lorentz-covariant radiation rate formula were obtained.

Conclusions:

• The study provides a novel theoretical framework for understanding composite quark behavior in strongly coupled gauge theories.
• The findings offer new insights into radiation damping and quark dynamics through the lens of the AdS/CFT correspondence.
• The absence of unphysical solutions suggests a more robust description of quark motion in this context.