Wave propagation on a random lattice

Details Wave propagation on a random lattice Wave propagation on a random lattice

2009-11-23

arxiv.org/abs/0911.4180v3

Phys. Rev. D 82, 064018 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.82.064018

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.

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