Classical Yang-Mills observables from amplitudes
Leonardo de la Cruz, Ben Maybee, Donal O’Connell, Alasdair Ross
Abstract
A bstract The double copy suggests that the basis of the dynamics of general relativity is Yang-Mills theory. Motivated by the importance of the relativistic two-body problem, we study the classical dynamics of colour-charged particle scattering from the perspective of amplitudes, rather than equations of motion. We explain how to compute the change of colour, and the radiation of colour, during a classical collision. We apply our formalism at next-to-leading order for the colour change and at leading order for colour radiation.
Topics & Concepts
PhysicsObservableFormalism (music)General relativityClassical mechanicsScattering amplitudeTheoretical physicsMathematical physicsAmplitudeScatteringTheory of relativityFirst orderRelativistic particleOrder (exchange)Dynamics (music)Quantum electrodynamicsRelativistic dynamicsQuantum mechanicsPerspective (graphical)Basis (linear algebra)Numerical relativityScattering theoryGravitationHigh-Energy Particle Collisions ResearchQuantum and Classical ElectrodynamicsPulsars and Gravitational Waves Research