Non-linear Laplace equation, de Sitter vacua and information geometry
| dc.creator | Loran, Farhang | |
| dc.date | 2005-01-24 | |
| dc.date | 2005-05-21 | |
| dc.date.accessioned | 2026-07-07T04:17:59Z | |
| dc.date.available | 2026-07-07T04:17:59Z | |
| dc.description | Three exact solutions say $ϕ_0$ of massless scalar theories on Euclidean space, i.e. $D=6 ϕ^3$, $D=4 ϕ^4$ and $D=3 ϕ^6$ models are obtained which share similar properties. The information geometry of their moduli spaces coincide with the Euclidean ${AdS}_7$, ${AdS}_5$ and ${AdS}_4$ respectively on which $ϕ_0$ can be described as a stable tachyon. In D=4 we recognize that the SU(2) instanton density is proportional to $ϕ_0^4$. The original action $S[ϕ]$ written in terms of new scalars ${\tilde ϕ}=ϕ-ϕ_0$ is shown to be equivalent to an interacting scalar theory on $D$-dimensional de Sitter background. | |
| dc.description | The title is changed! Eq.(19) and Appendix A are added. To appear in PRD | |
| dc.identifier | https://arxiv.org/abs/hep-th/0501189 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0501189 | |
| dc.identifier | Phys. Rev. D 71, 126003 (2005) | |
| dc.identifier | doi:10.1103/PhysRevD.71.126003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52995 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Non-linear Laplace equation, de Sitter vacua and information geometry | |
| dc.type | text |