Fluctuations in the New Inflationary Universe
Alan H. GuthCenter for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139So-Young PiCenter for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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The spectrum of density perturbations is calculated in the new-inflationary-universe scenario. The main source is the quantum fluctuations of the Higgs field, which lead to fluctuations in the time at which the false vacuum energy is released. The value of $\frac{\ensuremath{\delta}\ensuremath{\rho}}{\ensuremath{\rho}}$ on any given length scale $l$, at the time when the Hubble radius $\ensuremath{\gg}l$, is estimated. This quantity is nearly scale invariant (as desired), but is unfortunately about ${10}^{5}$ times too large.
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