Inflationary Textures

Details Inflationary Textures Inflationary Textures

1996-12-31

arxiv.org/abs/astro-ph/9612242v3

Astronomy and Astrophysics

Astrophysics

16 pages, 5 figures, Tex, revised, fixed the printing problem of figures

Scientific paper

We present a calculation of the power spectrum generated in a classically symmetry-breaking O(N) scalar field through inflationary quantum fluctuations, using the large-N limit. The effective potential of the theory in de Sitter space is obtained from a gap equation which is exact at large N. Quantum fluctuations restore the O(N) symmetry in de Sitter space, but for the finite values of N of interest, there is symmetry breaking and phase ordering after inflation, described by the classical nonlinear sigma model. The main difference with the usual cosmic texture scenario is that the initial conditions possess long range correlations, with calculable exponents.

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