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−1MHV helicity structure, dressed by ordinary Minkowski amplitudes. We derive all the N−1MHV 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.
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Albrychiewicz, E., Neiman, Y. & Tsulaia, M. MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch. J. High Energ. Phys. 2021, 176 (2021). https://doi.org/10.1007/JHEP09(2021)176
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DOI: https://doi.org/10.1007/JHEP09(2021)176