Extended objects in nonperturbative quantum field theory and the cosmological constant

TL;DR

This paper models a gravitating extended object formed from quantum vacuum fluctuations, linking its core energy density to the cosmological constant through an analytical solution of Einstein's equations.

Contribution

It introduces an approximate model of a nonperturbative quantum field object using scalar fields and provides an exact Einstein solution connecting vacuum energy to the cosmological constant.

Findings

Core filled with vacuum fluctuation energy density inside a cosmological horizon

Analytical Einstein solution for the quantum fluctuation core

Vacuum energy density related to the cosmological constant

Abstract

We consider a gravitating extended object constructed from vacuum fluctuations of nonperturbatively quantized non-Abelian gauge fields. An approximate description of such an object is given by two gravitating scalar fields. The object has a core filled with a constant energy density of the vacuum fluctuations of the quantum fields. The core is located inside a cosmological event horizon. An exact analytical solution of the Einstein equations for such a core is presented. The value of the energy density of the vacuum fluctuations is connected with the cosmological constant.