Wave propagation on a random lattice
General Relativity and Quantum Cosmology
2014-11-20 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0911.4180,
title = {Wave propagation on a random lattice},
author = {Hanno Sahlmann},
journal= {arXiv preprint arXiv:0911.4180},
year = {2014}
}
Comments
13 pages, 3 figures. v3: Some minor changes and clarifications. Virtually identical with the version published in Physical Review D