Quantum scalar field propagator in a stochastic gravitational plane wave
Abstract
A stochastic metric can appear in classical as well as in quantum gravity. We show that if the linearized stochastic Gaussian gravitational plane wave has the frequency spectrum ω4γ-1 (0≤ γ<1) then the equal-time propagator of the scalar field behaves as p-11-γfor large momenta. We discuss models of quantum field theory where such anomalous behaviour can appear.
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