Dimensional Regularization for the Particle Transition Amplitude in Curved Space
Olindo Corradini,
Luigi Crispo,
Maurizio Muratori
Abstract:We compute the perturbative short-time expansion for the transition amplitude of a particle in curved space time, by employing Dimensional Regularization (DR) to treat the divergences which occur in some Feynman diagrams. The present work generalizes known results where DR was applied to the computation of one-loop effective actions, which in the worldline approach are linked to particle path integrals on the circle, i.e. with periodic boundary conditions. The main motivation of the present work comes from rev… Show more
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