Hawking radiation on a falling lattice
高能物理 - 理论
2014-11-18 v2 广义相对论与量子宇宙学
高能物理 - 格点
摘要
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 in units where the surface gravity is 1.
引用
@article{arxiv.hep-th/9908099,
title = {Hawking radiation on a falling lattice},
author = {Ted Jacobson and David Mattingly},
journal= {arXiv preprint arXiv:hep-th/9908099},
year = {2014}
}
备注
11 pages, 7 figures, RevTex; paragraph added to introduction discussing insensitivity to choice of lattice point worldlines, version appearing in PRD