Imprints of a Primordial Preferred Direction on the Microwave Background

Details Imprints of a Primordial Preferred Direction on the Microwave Background Imprints of a Primordial Preferred Direction on the Microwave Background

2007-01-11

arxiv.org/abs/astro-ph/0701357v5

Phys.Rev.D75:083502,2007; Erratum-ibid.D80:069901,2009

Astronomy and Astrophysics

Astrophysics

7 pages, no figures; v5: Corrections, as well as use of more standard convention, in section II

Scientific paper

10.1103/PhysRevD.75.083502

Rotational invariance is a well-established feature of low-energy physics. Violations of this symmetry must be extremely small today, but could have been larger in earlier epochs. In this paper we examine the consequences of a small breaking of rotational invariance during the inflationary era when the primordial density fluctuations were generated. Assuming that a fixed-norm vector picked out a preferred direction during the inflationary era, we explore the imprint it would leave on the cosmic microwave background anisotropy, and provide explicit formulas for the expected amplitudes $$ of the spherical-harmonic coefficients. We suggest that it is natural to expect that the imprint on the primordial power spectrum of a preferred spatial direction is approximately scale-invariant, and examine a simple model in which this is true.

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