Density fluctuations in the de Sitter universe

Journal Article · Tue Jan 01 00:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90236-2· OSTI ID:7049116

Banerjee, N ^[1]; Mallik, S ^[2]

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1. Saha Inst. of Nuclear Physics, Calcutta (India)
2. Univ. of Bern (Switzerland)

The de Sitter space-time appears to be the most widely chosen manifold to study quantum field theories on curved space-time. The reason is, of course, its high symmetry and the related fact that the mode functions can be obtained exactly in terms of known functions. Thus the different problems of quantization on curved space-time, like the non-uniqueness of the vacuum, regularization and renormalization of the stress tensor, have all been studied extensively in this model. The other reason of interest in the de Sitter geometry is related to the inflationary scenario of the early universe. For a brief period, the energy density of the false (symmetric) vacuum may dominate the total energy density, giving rise to de Sitter space-time. The resulting inflation may solve a number of outstanding problems of cosmology and particle physics. The properties of a Higgs-type scalar field theory is of central importance in the investigation of such a scenario. In this paper, a scalar Higgs field theory in de Sitter space-time has been investigated using the real time formulation of Semenoff and Weiss. The authors calculate the two-point function at late times and use it to obtain a general expression for the amplitude of fluctuation in energy density on scales which come out of the de Sitter horizon.

• OSTI ID: 7049116
• Journal Information: Annals of Physics (New York); (United States), Vol. 205:1; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
QUANTUM FIELD THEORY
SCALAR FIELDS
FLUCTUATIONS
HIGGS MODEL
MATHEMATICAL MANIFOLDS
QUANTIZATION
RENORMALIZATION
SPACE-TIME
SYMMETRY
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE MODELS
VARIATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)