Mesoscopic Fluctuations in Stochastic Spacetime

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, 3 figures, one comment added, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.62.024002

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.

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