Wave propagation on a random lattice

Hanno Sahlmann
Phys. Rev. D 82, 064018 – Published 15 September 2010

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.

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  • Received 26 January 2010

DOI:https://doi.org/10.1103/PhysRevD.82.064018

© 2010 The American Physical Society

Authors & Affiliations

Hanno Sahlmann

  • Institute for Theoretical Physics, Karlsruhe Institute of Technology, Postfach 6980 D-76128 Karlsruhe, Germany

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Issue

Vol. 82, Iss. 6 — 15 September 2010

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