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Quantum field theory on a growing lattice

Brendan Z. Foster1 and Ted Jacobson1

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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.


Keywords

Models of Quantum Gravity

Lattice Models of Gravity

Lattice Quantum Field Theory

Cosmology of Theories beyond the SM

 

E-print Number: hep-th/0407019

Cited: by |

Refers: to

PACS

11.10.Kk Field theories in dimensions other than four

11.10.Cd Axiomatic approach

04.60.Ds Canonical quantization

12.60.-i Models beyond the standard model

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 08 (August 2004)

Received 5 July 2004, accepted for publication 11 August 2004

Published 9 September 2004



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