Differential equations for Carrollian amplitudes
Romain Ruzziconi, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu
Abstract
A bstract Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat spacetime. We derive linear differential equations satisfied by Carrollian MHV gluon and graviton amplitudes. We obtain non-distributional solutions for both the gluon and graviton cases. We perform various consistency checks for these differential equations, including compatibility with conformal Carrollian symmetries.
Topics & Concepts
PhysicsAmplitudeMathematical physicsQuantum electrodynamicsDifferential equationParticle physicsQuantum mechanicsBlack Holes and Theoretical PhysicsNumerical methods for differential equationsNonlinear Waves and Solitons