Fluctuations in the inflationary universe

Details Fluctuations in the inflationary universe Fluctuations in the inflationary universe

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983nuphb.224..180h&link_type=abstract

Nuclear Physics B, Volume 224, Issue 1, p. 180-192.

Physics

Nuclear Physics

119

Scientific paper

In the usual treatment of the inflationary universe, it is assumed that the expectation value of some component of the Higgs field develops a non-zero symmetry breaking value Φ0. However, in the models normally considered, the expectation value of Φ will be zero at all times because Φ and -Φ are equally probable. To overcome this difficulty, we calculate the effective action as a function of <Φ2> rather than <Φ>. This also solves the infra-red problem associated with a Coleman-Weinberg condition in de Sitter space. The expectation value of Φ2 grows linearly with time at first and then as (t2 - t-1). The irregularities in the resulting universe are smaller than those predicted by previous authors, though in the case of the standard SU(5) GUT they are still bigger than the limit set by the microwave background.

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