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arXiv · hep-th/0407019

Quantum field theory on a growing lattice

Brendan Z. Foster·Ted Jacobson
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Abstract

We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice. Growth-induced particle creation is studied in a two-dimensional example. The results suggest that local mode birth of this sort injects too much energy into the vacuum to be a viable model of cosmological mode birth.

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Brendan Z. Foster, Ted Jacobson. 2004-08-06. Quantum field theory on a growing lattice. https://doi.org/10.1088/1126-6708%2F2004%2F08%2F024

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