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Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy?

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abstract

Anisotropic inflation is an interesting model with an U(1) gauge field and it predicts the statistical anisotropy of the curvature perturbation characterized by a parameter $g_*$. However, we find that the background gauge field does not follow the classical attractor solution due to the stochastic effect. We develop the stochastic formalism of a vector field and solve Langevin and Fokker-Planck equations. It is shown that this model is excluded by the CMB constraint $g_*\le 10^{-2}$ with a high probability about $99.999\%$.

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hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Inflation with vector fields revisited: non-Gaussianities

hep-th · 2026-05-27 · unverdicted · novelty 5.0

In kinetically coupled vector inflation, the bispectrum in the large-h regime exhibits competing local and flattened non-Gaussian signals with distinct h scalings that distinguish vector-supported dynamics.

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  • Inflation with vector fields revisited: non-Gaussianities hep-th · 2026-05-27 · unverdicted · none · ref 26 · internal anchor

    In kinetically coupled vector inflation, the bispectrum in the large-h regime exhibits competing local and flattened non-Gaussian signals with distinct h scalings that distinguish vector-supported dynamics.