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arxiv: 0911.4180 · v3 · submitted 2009-11-23 · 🌀 gr-qc · hep-th· math-ph· math.MP

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Wave propagation on a random lattice

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classification 🌀 gr-qc hep-thmath-phmath.MP
keywords latticecalculatedispersionfieldpropagationrandomrelationcoefficients
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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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