Quantum of the bare cosmological constant

Abstract

We show that there exist scalar field theories with plausible one-particle states in general $D$ dimensional nonstationary curved spacetimes whose propagating modes are localized on $d\le D$ dimensional hypersurfaces, and the corresponding stress tensor resembles the bare cosmological constant ${\lambda }_B$ in the $D$ dimensional bulk. We show that nontrivial $d=1$ dimensional solutions correspond to ${\lambda }_B<0$. Considering free scalar theories we find that for $d=2$ the symmetry of the parameter space of classical solutions corresponding to ${\lambda }_B\ne 0$ is $O(1,1)$ which enhances to ${\mathbb{Z}}_2\times \mathrm{Diff}({\mathbb{R}}^1)$ at ${\lambda }_B=0$. For $d>2$ we obtain $O(d-1,1)$, $O(d-1)\times \mathrm{Diff}({\mathbb{R}}^1)$ and $O(d-1,1)\times O(d-2)\times \mathrm{Diff}({\mathbb{R}}^1)$ corresponding to, respectively, ${\lambda }_B<0$, ${\lambda }_B=0$ and ${\lambda }_B>0$.

Extended version, 21 pages, to appear in PTEP

References in corpus (2)

• Beyond the Cosmological Standard Model
• Fermionic one-particle states in curved spacetimes