Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-13
Prog.Theor.Phys.Suppl.136:1-17,1999
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, to appear in Progress of Theoretical Physics Supplement, Proceedings of Yukawa International Seminar 1999; typos cor
Scientific paper
10.1143/PTPS.136.1
Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems to require a growing Hilbert space, but for black holes, Unruh's sonic analogy has given rise to both field theoretic and lattice models demonstrating how such a cutoff in a fixed Hilbert space might be compatible with a low energy effective quantum field theory of the Hawking effect. In the lattice case, the outgoing modes arise via a Bloch oscillation from ingoing modes. A short distance cutoff on degrees of freedom is incompatible with local Lorentz invariance, but may nevertheless be compatible with general covariance if the preferred frame is defined non-locally by the cosmological background. Pursuing these ideas in a different direction, condensed matter analogs may eventually allow for laboratory observations of the Hawking effect. This paper introduces and gives a fairly complete but brief review of the work that has been done in these areas, and tries to point the way to some future directions.
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