Researchers have developed a new method based on the Laplace transform to simplify the calculation of cosmological correlators. This technique allows each cosmological mode in curved space to be decomposed into a superposition of plane waves, incorporating spacetime geometry, field content, and early universe dynamics. The approach transforms complex time integrals into flat-space integrals, facilitating the analysis of interactions in the primordial cosmos.
The method provides diagrammatic rules that convert cosmological correlator diagrams into their flat-space counterparts, integrated against Laplace-space kernels. This is particularly useful for studying paradigmatic massive single exchanges, where the integral representation makes energy singularities manifest and allows for a closed-form evaluation. The solution is presented as a single, rapidly convergent series, valid throughout the kinematic domain, eliminating the need to patch separate expansions for different regions.
This Laplace approach not only sheds conceptual light on cosmological correlators but also offers significant computational improvements. Its applicability extends to virtually any theory of the early universe, promising a more efficient and precise tool for cosmological physics. The advance could accelerate our understanding of fundamental processes that occurred in the earliest moments of our universe.