Nonlinear Laplace equation, de Sitter vacua, and information geometry

Loran, Farhang

doi:10.1103/PhysRevD.71.126003

Nonlinear Laplace equation, de Sitter vacua, and information geometry

Farhang Loran
(
- Isfahan Tech. U.
)

Jan, 2005

8 pages

Published in:

Phys.Rev.D 71 (2005) 126003

e-Print:

hep-th/0501189 [hep-th]

DOI:

10.1103/PhysRevD.71.126003

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Abstract:

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.

Note:

The title is changed! Eq.(19) and Appendix A are added. To appear in PRD Journal-ref: Phys. Rev. D 71, 126003 (2005) DOI: 10.1103/PhysRevD.71.126003

11.27.+d
04.50.+h
04.62.+v
11.25.Hf
dimension: 3
dimension: 4
dimension: 6
field equations: Laplace
field theory: Euclidean
field theory: scalar

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