A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into spectral integrals and orthogonality relations.
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Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.
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Kontorovich-Lebedev-Fourier Space for de Sitter Correlators
A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into spectral integrals and orthogonality relations.
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Ab Initio Construction of Poincar\'e and AdS Particle
Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.