MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch

Abstract

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We formulate the problem in terms of off-shell fields in Poincare coordinates. This is especially convenient for conformal theories, where the static patch can be viewed as a flat causal diamond, with one tip at the origin and the other at timelike infinity. As an important example, we consider Yang-Mills theory at tree level. We find that static-patch scattering for Yang-Mills is subject to BCFW-like recursion relations. These can reduce any static-patch amplitude to one with N^{-1}MHV helicity structure, dressed by ordinary Minkowski amplitudes. We derive all the N^{-1}MHV static-patch amplitudes from self-dual Yang-Mills field solutions. Using the recursion relations, we then derive from these an infinite set of MHV amplitudes, with arbitrary number of external legs.

40 pages, 3 figures; v2: JHEP version; expanded discussion, references; v3: corrected the kinematics of reading off the final horizon data

References in corpus (9)

• New Relations for Gauge-Theory Amplitudes
• Light-Front Higher-Spin Theories in Flat Space
• On duality of color and kinematics in (A)dS momentum space
• More on Quantum Chiral Higher Spin Gravity
• Color/Kinematics Duality in AdS${}_4$
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• Spinor-helicity variables for cosmological horizons in de Sitter space
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ III: Contact Four-Point Amplitudes
• Scattering in the static patch of de Sitter space

Cited by in corpus (1)

• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$