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PreprintCC BY 4.0arXiv

All-Plus QED Wavefunctions in de Sitter Space

  • Song He
  • Jiajie Mei
  • Yuyu Mo
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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. The result admits both a recursive representation in terms of shifted lower-point coefficients and an explicit finite sum involving only kinematic factors. 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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Cite

BibTeXRIS
BibTeX
@misc{he2026allplus,
  title = {{All-Plus QED Wavefunctions in de Sitter Space}},
  author = {Song He and Jiajie Mei and Yuyu Mo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.29356},
  eprint = {2609.29356},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29356},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - All-Plus QED Wavefunctions in de Sitter Space
AU  - Song He
AU  - Jiajie Mei
AU  - Yuyu Mo
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.29356
UR  - https://arxiv.org/abs/2609.29356
AB  - 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. The result admits both a recursive representation in terms of shifted lower-point coefficients and an explicit finite sum involving only kinematic factors. 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.
ER  -