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<p>We discuss the symmetry aspects of quantum field theory in global four-dimensional de Sitter spacetime linked to SO(1, 4) isometries. For the unitary irreducible representations relevant to elementary particles, we obtain explicit transformation laws for the symmetry generators acting on one-particle states in a basis adapted to the SU(2) × SU(2)<sup>′</sup> decomposition of the Hilbert space. Using these results, we derive the corresponding Ward identities and demonstrate how global spacetime symmetries constrain de Sitter scattering amplitudes. We show that the Poincaré algebra and flat-space Ward identities are recovered in the large-momentum limit.</p>

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Symmetries of de Sitter particles and amplitudes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月9日

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  • Audrey Lindsay,
  • Tomasz R. Taylor

摘要

We discuss the symmetry aspects of quantum field theory in global four-dimensional de Sitter spacetime linked to SO(1, 4) isometries. For the unitary irreducible representations relevant to elementary particles, we obtain explicit transformation laws for the symmetry generators acting on one-particle states in a basis adapted to the SU(2) × SU(2)′ decomposition of the Hilbert space. Using these results, we derive the corresponding Ward identities and demonstrate how global spacetime symmetries constrain de Sitter scattering amplitudes. We show that the Poincaré algebra and flat-space Ward identities are recovered in the large-momentum limit.