Growth of scalar-field quantum fluctuations in Robertson-Walker universes

Details Growth of scalar-field quantum fluctuations in Robertson-Walker universes Growth of scalar-field quantum fluctuations in Robertson-Walker universes

Apr 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.2099p&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 8, 15 April 1988, pp.2099-2103

Physics

15

Particle-Theory And Field-Theory Models Of The Early Universe, Theory Of Quantized Fields

Scientific paper

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).

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