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Quantum field theory on a growing lattice

Brendan Z. Foster et al JHEP08(2004)024   doi: 10.1088/1126-6708/2004/08/024  Help

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Brendan Z. Foster1 and Ted Jacobson1
1 Institut d'Astrophysique de Paris, 98 bis Bvd. Arago, 75014 Paris
E-mail: bzf@umd.edu

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.

Key words: Lattice Quantum Field Theory; Models of Quantum Gravity; Lattice Models of Gravity; Cosmology of Theories beyond the SM

E-print number: hep-th/0407019
Cited: by
Refers: to

Received 5 July 2004, accepted for publication 11 August 2004
Published 9 September 2004

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