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Explicit examples of probability distributions for the energy density in two-dimensional conformal field theory

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arxiv 1908.00393 v1 pith:ROD4KBZO submitted 2019-08-01 hep-th gr-qc

Matthew C. Anthony , Christopher J. Fewster This is my paper · ORCID
classification hep-thgr-qc
keywords distributionexamplesconformaldensityenergyfieldprobabilitytheory
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abstract

Measurements of a weighted energy density average taken in the vacuum state of a conformal field theory in $1+1$ dimensions are randomly distributed with vanishing expectation value. The probability distribution is computed in closed form for two infinite families of averaging functions, generalising previously known examples. These examples may be further generalised by restriction to a half-line In all cases the distribution is that of a shifted Gamma distribution.

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Cited by 1 Pith paper

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  1. Probability Distribution for Vacuum Energy Flux Fluctuations in Two Spacetime Dimensions

    hep-th 2024-12 conditional novelty 6.0 of 10

    Time-averaged vacuum energy flux in 2D CFT follows a symmetric variance-gamma distribution, and the joint flux-energy density distribution is explicitly constructed.

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