Speaker
Description
In many inflationary scenarios, primordial correlation functions are encoded in late-time observables in de Sitter spacetime, where even the simplest processes already involve highly nontrivial time integrals. I will show that this difficulty can be overcome by introducing a new momentum-space representation adapted to de Sitter isometries. This construction is based on diagonalizing the Casimir operator rather than the Hamiltonian, effectively trading the usual (d+1)-dimensional Fourier space for the Kontorovich–Lebedev–Fourier (KLF) space. I will also show practical advantages of this description: quadratic dynamics provides a simple propagator analogous to flat space, and the nested time integrals turn into frequency-space integrals over meromorphic functions.