Mesoscopic Fluctuations in Stochastic Spacetime

TL;DR

This paper investigates mesoscopic fluctuations in stochastic spacetime, revealing universal conductance fluctuations for scalar and spinor waves, akin to disordered electronic systems, using a nonlinear sigma model approach.

Contribution

It introduces a novel analogy between wave propagation in stochastic spacetime and disordered electronic systems, applying a nonlinear sigma model to analyze conductance fluctuations.

Findings

Conductance fluctuations are universal and volume-independent.

Scalar and spinor waves exhibit similar mesoscopic behavior.

The nonlinear sigma model effectively describes stochastic spacetime effects.

Abstract

Mesoscopic effects associated with wave propagation in spacetime with metric stochasticity are studied. We show that the scalar and spinor waves in a stochastic spacetime behave similarly to the electrons in a disordered system. Viewing this as the quantum transport problem, mesoscopic fluctuations in such a spacetime are discussed. The conductance and its fluctuations are expressed in terms of a nonlinear sigma model in the closed time path formalism. We show that the conductance fluctuations are universal, independent of the volume of the stochastic region and the amount of stochasticity.