Vacuum energy and relativistic invariance

Details Vacuum energy and relativistic invariance Vacuum energy and relativistic invariance

2002-04-04

arxiv.org/abs/hep-th/0204048v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 4 pages. Substantial changes to the text; results and conclusions unchanged

Scientific paper

It is argued that the zero-point energies of free quantum fields diverge at most quadratically and not quartically, as is generally believed. This is a consequence of the relativistic invariance which requires that the energy density of the vacuum $\rho$ and its pressure $p$ satisfy $\rho=-p$. The usually obtained quartic divergence is an artifact of the use of a noninvariant regularization which violates this relation. One consequence of our results is that the zero-point energies of free massless fields vanish. Implications for the cosmological constant problem are briefly discussed.

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