Non-linear Laplace equation, de Sitter vacua and information geometry

Details Non-linear Laplace equation, de Sitter vacua and information geometry Non-linear Laplace equation, de Sitter vacua and information geometry

2005-01-24

arxiv.org/abs/hep-th/0501189v2

Phys. Rev. D 71, 126003 (2005)

Physics

High Energy Physics

High Energy Physics - Theory

The title is changed! Eq.(19) and Appendix A are added. To appear in PRD

Scientific paper

10.1103/PhysRevD.71.126003

Three exact solutions say $\phi_0$ of massless scalar theories on Euclidean space, i.e. $D=6 \phi^3$, $D=4 \phi^4$ and $D=3 \phi^6$ 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 $\phi_0$ can be described as a stable tachyon. In D=4 we recognize that the SU(2) instanton density is proportional to $\phi_0^4$. The original action $S[\phi]$ written in terms of new scalars ${\tilde \phi}=\phi-\phi_0$ is shown to be equivalent to an interacting scalar theory on $D$-dimensional de Sitter background.

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