Statistics – Computation
Scientific paper
Apr 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2100p&link_type=abstract
Physical Review D (Particles and Fields), Volume 39, Issue 8, 15 April 1989, pp.2100-2107
Statistics
Computation
27
Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
In this paper we propose an alternative method for the computation of classical density perturbations from a quantum field in an inflationary scenario. We compute the power spectrum of density perturbations directly from vacuum fluctuations of the ``time-time'' component of the energy-momentum tensor. We compute the inhomogeneous part of the correlation function <0||T00(x,t) T00(y,t)||0> for a massless minimally coupled scalar field in de Sitter space. The Fourier transform of this two-point function leads to the scale-invariant spectrum of perturbations, but is ultraviolet divergent. This expression can be made finite by introducing an (ad hoc) small-distance cutoff in the proper length. We argue that this cutoff should be of the order of the Planck length, and show that, in such a case, the density fluctuations have the acceptable magnitude (~10-4) for the case of primordial inflation. Thus the inflationary scenario can be made to work without any fine-tuning.
Padmanabhan Thanu
Seshadri T. R.
Singh Tajinder Pal
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