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arXiv · 1003.2566

Lorentz symmetry from a random Hamiltonian

Andreas Albrecht·Alberto Iglesias
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Abstract

We match the density of energy eigenstates of a local field theory with that of a random Hamiltonian order by order in a Taylor expansion. In our previous work we assumed Lorentz symmetry of the field theory, which entered through the dispersion relation. Here we extend that work to consider a generalized dispersion relation and show that the Lorentz symmetric case is preferred, in that the Lorentz symmetric dispersion relation gives a better approximation to a random Hamiltonian than the other local dispersion relations we considered.

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Andreas Albrecht, Alberto Iglesias. 2015-02-13. Lorentz symmetry from a random Hamiltonian. https://doi.org/10.1103/physrevd.91.043529

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