Area-scaling of quantum fluctuations

Details Area-scaling of quantum fluctuations Area-scaling of quantum fluctuations

2004-01-13

arxiv.org/abs/hep-th/0401081v1

Nucl.Phys. B709 (2005) 391-408

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 5 figures

Scientific paper

10.1016/j.nuclphysb.2004.11.063

We show that fluctuations of bulk operators that are restricted to some region of space scale as the surface area of the region, independently of its geometry. Specifically, we consider two point functions of operators that are integrals over local operator densities whose two point functions falls off rapidly at large distances, and does not diverge too strongly at short distances. We show that the two point function of such bulk operators is proportional to the area of the common boundary of the two spatial regions. Consequences of this, relevant to the holographic principle and to area-scaling of Unruh radiation are briefly discussed.

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