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◇ arXiv2026-09-24· hep-th

All-Plus QED Wavefunctions in de Sitter Space

Song He, Jiajie Mei, Yuyu Mo

原始摘要(英文原文)· Original abstract
We present a compact all-multiplicity formula for tree-level late-time wavefunction coefficients of scalar QED in four-dimensional de Sitter space, with a conformally coupled charged scalar pair and positive-helicity photons. It combines lower-point coefficients at shifted scalar momenta with a spinor-helicity term proportional to the total energy. The flat-space amplitudes vanish for two or more photons, yet the de Sitter coefficients remain nonzero. These zeros enforce cancellations of the total-energy residue and, through factorization, of proper partial-energy residues involving multi-photon subamplitudes. Using a common-reference construction, we derive an exact lower-point recursion from Abelian Ward identities. Conformal symmetry provides an independent check: the partition sum solves the inhomogeneous Ward identity, while the total-energy term is a homogeneous solution. We also outline an analogous recursion in massless fermionic QED.
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