Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-13
Phys.Rev. D61 (2000) 024017
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 7 figures, RevTex; paragraph added to introduction discussing insensitivity to choice of lattice point worldlines, v
Scientific paper
10.1103/PhysRevD.61.024017
Scalar field theory on a lattice falling freely into a 1+1 dimensional black hole is studied using both WKB and numerical approaches. The outgoing modes are shown to arise from incoming modes by a process analogous to a Bloch oscillation, with an admixture of negative frequency modes corresponding to the Hawking radiation. Numerical calculations show that the Hawking effect is reproduced to within 0.5% on a lattice whose proper spacing where the wavepacket turns around at the horizon is $\sim0.08$ in units where the surface gravity is 1.
Jacobson Ted
Mattingly David
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