Probability distribution of the vacuum energy density
High Energy Physics - Theory
2010-12-24 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.1002.1846,
title = {Probability distribution of the vacuum energy density},
author = {G. Duplancic and D. Glavan and H. Stefancic},
journal= {arXiv preprint arXiv:1002.1846},
year = {2010}
}
Comments
5 pages, 2 figures, revised version to appear in Phys.Rev.D