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.
Canonical reference
Werth,Spectral representation of cosmological correlators,JHEP12(2024) 017 [2409.02072]
Canonical reference. 80% of citing Pith papers cite this work as background.
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representative citing papers
A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
Derives integro-differential boundary equations from bulk locality for scale-breaking cosmological correlators with oscillating heavy-field masses and solves them analytically and numerically to reveal enhanced collider signals.
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
A graph-tubing combinatorial framework governs the first-order differential equations obeyed by master integrals for massive cosmological correlators in de Sitter space.
Right-handed neutrino loops in inflation with seesaw mechanism generate enhanced cosmological collider signatures via a chemical potential from a dimension-5 operator, softening Boltzmann suppression and amplifying oscillatory non-Gaussianity for the dominant helicity mode.
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.
citing papers explorer
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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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De Sitter Momentum Space
A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
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Every Wrinkle Carries A Memory: An Integro-differential Bootstrap for Features in Cosmological Correlators
Derives integro-differential boundary equations from bulk locality for scale-breaking cosmological correlators with oscillating heavy-field masses and solves them analytically and numerically to reveal enhanced collider signals.
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Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-loop bubble.
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Differential Equations for Massive Correlators
A graph-tubing combinatorial framework governs the first-order differential equations obeyed by master integrals for massive cosmological correlators in de Sitter space.
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Cosmological Collider Signatures from Right-Handed Neutrino Loop
Right-handed neutrino loops in inflation with seesaw mechanism generate enhanced cosmological collider signatures via a chemical potential from a dimension-5 operator, softening Boltzmann suppression and amplifying oscillatory non-Gaussianity for the dominant helicity mode.
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Loops Outside a Black Hole
Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.
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A Match Made in Heaven: Linking Observables in Inflationary Cosmology
In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.