Quantum field theory on a growing lattice
High Energy Physics - Theory
2009-11-10 v2 Astrophysics
General Relativity and Quantum Cosmology
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0407019,
title = {Quantum field theory on a growing lattice},
author = {Brendan Z. Foster and Ted Jacobson},
journal= {arXiv preprint arXiv:hep-th/0407019},
year = {2009}
}
Comments
28 pages, 2 figures; v.2: added comments on defining energy, and references