Quantum Noise of Gravitons and Stochastic Force on Geodesic Separation

Understand

In this work we consider the effects of gravitons and their fluctuations on the dynamics of two masses using the Feynman-Vernon influence functional formalism, applied to nonequilibrium quantum field theory and semiclassical stochastic gravity earlier by Calzetta, Hu and Verdaguer [1-3], and most recently, to this problem by Parikh, Wilczek and Zahariade [4-6].

• The Hadamard function of the gravitons yields the noise kernel acting as a stochastic tensorial force in a Langevin equation governing the motion of the separation of the two masses.
• The fluctuations of the separation due to the graviton noise are then solved for various quantum states including the Minkowski vacuum, thermal, coherent and squeezed states.
• The previous considerations of Parikh et al.