Geodesic Scattering and Lorentz Invariance in Stochastic Gravity

Abstract: Stochastic gravity opens up the ability to study problems where quantum fluctuations are important in semiclassical gravity. Many of these problems require regularization techniques which may break certain symmetries. In this thesis, the effects of fluctuating spacetime on geodesics is studied in the framework of interacting quantum field theories and in studying geodesic deviation. The possibility of using Pauli-Villars to regularize quantum fields in stochastic gravity calculations is explored.