A quenched-disorder approach with Schwinger-Keldysh path integrals produces an averaged density matrix for gravitational waves that separates phase-suppressing exponential terms from oscillatory corrections to coherent propagation.
Schulman,Techniques and Applications of Path Integration
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Obtains the two-point correlator in Nariai geometry as a sum over complex geodesics via heat kernel approximation on sphere products followed by analytic continuation, extending de Sitter results.
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Gravitational-wave lensing beyond rays: a disordered-system approach
A quenched-disorder approach with Schwinger-Keldysh path integrals produces an averaged density matrix for gravitational waves that separates phase-suppressing exponential terms from oscillatory corrections to coherent propagation.
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Complex Geodesics in the Nariai Geometry
Obtains the two-point correlator in Nariai geometry as a sum over complex geodesics via heat kernel approximation on sphere products followed by analytic continuation, extending de Sitter results.