A Note on Kinematic Flow and Differential Equations for Two-Site One-Loop Graph in FRW Spacetime

Autor: Hang, Yanfeng
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this study, we investigate the canonical differential equations governing the two-site one-loop wavefcuntion coefficient in conformally-coupled scalar theory within a general FRW cosmology. By utilizing relative twisted cohomology and integration by parts, we systematically derive these equations, providing a solid foundation for further analysis. Moreover, we extend the kinematic flow framework to the one-loop level, efficiently deriving the differential equations graphically through the family trees generated by tube graphs, which are associated with the singularities of the system. This approach provides valuable insights into the dynamical behavior of the differential system for the cosmological wavefunction coefficient at the loop level.
Databáze: arXiv