Probability distribution of the vacuum energy density

Details Probability distribution of the vacuum energy density Probability distribution of the vacuum energy density

2010-02-09

arxiv.org/abs/1002.1846v2

Phys.Rev.D82:125008,2010

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures, revised version to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.82.125008

As the vacuum state of a quantum field is not an eigenstate of the Hamiltonian density, the vacuum energy density can be represented as a random variable. We present an analytical calculation of the probability distribution of the vacuum energy density for real and complex massless scalar fields in Minkowski space. The obtained probability distributions are broad and the vacuum expectation value of the Hamiltonian density is not fully representative of the vacuum energy density.

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