Quantum field theory on a growing lattice

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, 2 figures; v.2: added comments on defining energy, and references

Scientific paper

10.1088/1126-6708/2004/08/024

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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