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.
Evaluation of conformal integrals
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a comprehensive method for the evaluation of a vast class of integrals representing 3-point functions of conformal field theories in momentum space. The method leads to analytic, closed-form expressions for all scalar and tensorial 3-point functions of operators with integer dimensions in any spacetime dimension. In particular, this encompasses all 3-point functions of the stress tensor, conserved currents and marginal scalar operators.
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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.
Derives photon bulk-to-bulk propagators in AdS in multiple gauges by tensor decomposition and form-factor solution, recovering prior results and adding new expressions with improved IR behavior in Fried-Yennie gauge.
citing papers explorer
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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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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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Bulk-to-bulk photon propagator in AdS
Derives photon bulk-to-bulk propagators in AdS in multiple gauges by tensor decomposition and form-factor solution, recovering prior results and adding new expressions with improved IR behavior in Fried-Yennie gauge.