Particle Production of Vector Fields: Scale Invariance is Attractive

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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LaTex, 41 pages, 13 figures, corrected typos and added references

Scientific paper

10.1103/PhysRevD.83.023523

In a model of an Abelian vector boson with a Maxwell kinetic term and non-negative mass-squared it is demonstrated that, under fairly general conditions during inflation, a scale-invariant spectrum of perturbations for the components of a vector field, massive or not, whose kinetic function (and mass) is modulated by the inflaton field is an attractor solution. If the field is massless, or if it remains light until the end of inflation, this attractor solution also generates anisotropic stress, which can render inflation weakly anisotropic. The above two characteristics of the attractor solution can source (independently or combined together) significant statistical anisotropy in the curvature perturbation, which may well be observable in the near future.

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