Geometry in scattering amplitudes
Andreas Helset, Elizabeth Jenkins, Aneesh V. Manohar
Abstract
We formulate the field-space geometry for an effective field theory of scalars and gauge bosons. Geometric invariants such as the field-space curvature enter in both scattering amplitudes and the renormalization group equations, with the scalar and gauge results unified in a single expression.
Topics & Concepts
Scattering amplitudePhysicsGauge theoryScalar fieldCurvatureScatteringIntroduction to gauge theoryAmplitudeScalar field theoryGauge bosonScalar (mathematics)BosonMathematical physicsCurved spaceQuantum electrodynamicsField (mathematics)Theoretical physicsGeometryMathematicsQuantum mechanicsQuantum gravityPure mathematicsQuantumBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesCosmology and Gravitation Theories