``Laboratory'' description of field excitations in a hyperbolically expanding cavity

Details ``Laboratory'' description of field excitations in a hyperbolically expanding cavity ``Laboratory'' description of field excitations in a hyperbolically expanding cavity

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.2423d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 6, 15 March 1993, pp.2423-2431

Physics

1

Exact Solutions, Theory Of Quantized Fields

Scientific paper

Scalar fields in a hyperbolically expanding ``cavity'' provide a flat-spacetime model for particle dynamics in de Sitter space. A timelike, spherically symmetric Rindler-coordinate hypersurface having de Sitter geometry describes the evolution of the expanding cavity. The field theory in the cavity corresponds to the reduction of the embedding-space theory to this coordinate hypersurface. The de Sitter particle-number eigenstates of the cavity theory are unsuitable for the embedding-space or ``laboratory'' description, as they yield infinite excitation energies. States for the ``laboratory'' description are constructed by localizing excitations in the embedding space about the world tube of the cavity. Adjusted states approximate a free-particle spectrum with additive excitation energies for a wide range of parameters. While the time dependence of de Sitter-space excitation energies is not reproduced, the finite width of de Sitter-space detector response functions is exhibited in the ``laboratory'' description.

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