Nonlinear Laplace equation, de Sitter vacua, and information geometry

Journal Article · Wed Jun 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.126003· OSTI ID:20709611

Loran, Farhang ^[1]

---

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

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.

• OSTI ID: 20709611
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 12; Other Information: DOI: 10.1103/PhysRevD.71.126003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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