Nonlinear Laplace equation, de Sitter vacua, and information geometry

Loran, Farhang

doi:10.1103/PhysRevD.71.126003

Title: Nonlinear Laplace equation, de Sitter vacua, and information geometry

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Abstract

Three exact solutions say {phi}{sub 0} of massless scalar theories on Euclidean space, i.e. D=6 {phi}{sup 3}, D=4 {phi}{sup 4} and D=3 {phi}{sup 6} models are obtained which share similar properties. The information geometry of their moduli spaces coincide with the Euclidean AdS{sub 7}, AdS{sub 5} and AdS{sub 4} respectively on which {phi}{sub 0} can be described as a stable tachyon. In D=4 we recognize that the SU(2) instanton density is proportional to {phi}{sub 0}{sup 4}. The original action S[{phi}] written in terms of new scalars {phi}-tilde={phi}-{phi}{sub 0} is shown to be equivalent to an interacting scalar theory on D-dimensional de Sitter background.

Authors:

Loran, Farhang ^[1]

Department of Physics, Isfahan University of Technology (IUT) Isfahan (Iran, Islamic Republic of)

Publication Date:: Wed Jun 15 00:00:00 EDT 2005

OSTI Identifier:: 20709611

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 71; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.71.126003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DE SITTER GROUP; EUCLIDEAN SPACE; EXACT SOLUTIONS; GEOMETRY; LAPLACE EQUATION; NONLINEAR PROBLEMS; PHI4-FIELD THEORY; SCALARS; STRING MODELS; SU-2 GROUPS; VACUUM STATES

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                    Loran, Farhang. Nonlinear Laplace equation, de Sitter vacua, and information geometry.  United States: N. p., 2005. 
        Web.  doi:10.1103/PhysRevD.71.126003.

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                    Loran, Farhang. Nonlinear Laplace equation, de Sitter vacua, and information geometry.  United States.  https://doi.org/10.1103/PhysRevD.71.126003

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                    Loran, Farhang. 2005.  
        "Nonlinear Laplace equation, de Sitter vacua, and information geometry".  United States.  https://doi.org/10.1103/PhysRevD.71.126003.

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@article{osti_20709611,

  title        = {Nonlinear Laplace equation, de Sitter vacua, and information geometry},

  author       = {Loran, Farhang},

  abstractNote = {Three exact solutions say {phi}{sub 0} of massless scalar theories on Euclidean space, i.e. D=6 {phi}{sup 3}, D=4 {phi}{sup 4} and D=3 {phi}{sup 6} models are obtained which share similar properties. The information geometry of their moduli spaces coincide with the Euclidean AdS{sub 7}, AdS{sub 5} and AdS{sub 4} respectively on which {phi}{sub 0} can be described as a stable tachyon. In D=4 we recognize that the SU(2) instanton density is proportional to {phi}{sub 0}{sup 4}. The original action S[{phi}] written in terms of new scalars {phi}-tilde={phi}-{phi}{sub 0} is shown to be equivalent to an interacting scalar theory on D-dimensional de Sitter background.},

  doi          = {10.1103/PhysRevD.71.126003},

  url          = {https://www.osti.gov/biblio/20709611},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 12,

  volume       = 71,

  place        = {United States},

  year         = {Wed Jun 15 00:00:00 EDT 2005},

  month        = {Wed Jun 15 00:00:00 EDT 2005}

}

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