2005/01/31 by Farhang Loran
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter universe #Geometry #Instanton #Massless particle #Mathematical physics #Mathematics #Moduli space #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Scalar (mathematics) #hep-th
paper · pdf · doi:10.1103/physrevd.71.126003
published as Phys. Rev. D 71, 126003 (2005) · The title is changed! Eq.(19) and Appendix A are added. To appear in PRD
arxiv created 2005/05/21 · openalex publication_date 2005/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Three exact solutions say \ensuremathφ0 of massless scalar theories on Euclidean space, i.e. D=6 \ensuremathφ3, D=4 \ensuremathφ4 and D=3 \ensuremathφ6 models are obtained which share similar properties. The information geometry of their moduli spaces coincide with the Euclidean AdS7, AdS5 and AdS4 respectively on which \ensuremathφ0 can be described as a stable tachyon. In D=4 we recognize that the SU(2) instanton density is proportional to \ensuremathφ04. The original action S[\ensuremathφ] written in terms of new scalars \stackrel\texttildelow\ensuremathφ=\ensuremathφ\ensuremath-\ensuremathφ0 is shown to be equivalent to an interacting scalar theory on D-dimensional de Sitter background.