Wave propagation on a random lattice

Abstract

Motivated by phenomenological questions in quantum gravity, we consider the propagation of a scalar field on a random lattice. We describe a procedure to calculate the dispersion relation for the field by taking a limit of a periodic lattice. We use this to calculate the lowest order coefficients of the dispersion relation for a specific one-dimensional model.

13 pages, 3 figures. v3: Some minor changes and clarifications. Virtually identical with the version published in Physical Review D

References in corpus (1)

• Bounds on length scales of classical spacetime foam models

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