Growth of Scalar Field Quantum Fluctuations in Robertson - Walker Universes
Oct, 198718 pages
Published in:
- Phys.Rev.D 37 (1988) 2099
Report number:
- TUTP-87-16
Citations per year
Abstract: (APS)
We investigate the behavior of the quantum expectation value of φ2 where φ is a massless, minimally coupled scalar field in a spatially flat Robertson-Walker universe. The scale factor is a(t)∝tα, where t is the comoving time. If α≫1, this metric is locally approximately de Sitter space. It is found that 〈φ2〉 grows linearly in time for a finite interval during which it is approximated by the de Sitter-space result: 〈φ2〉=H3t/(4π2). It subsequently approaches a constant value. If R0 denotes the value of the scalar curvature at the time that growth begins, then the interval of growth lasts for a time of the order of Δt=α(3/R0)1/2 and the asymptotic value of 〈φ2〉 is αR0/(96π2).- FIELD THEORY: SPACE-TIME
- FIELD THEORY: SCALAR
- FIELD THEORY: MASSLESS
- MASSLESS: FIELD THEORY
- QUANTIZATION
- N-POINT FUNCTION
- PERTURBATION THEORY
References(1)
Figures(0)