We propose a method to probe higher-order correlators of the primordial density field through the inhomogeneity of local non-Gaussian parameters, such as f_NL, measured within smaller patches of the sky. Correlators between n-point functions measured in one patch of the sky and k-point functions measured in another patch depend upon the (n+k)-point functions over the entire sky. The inhomogeneity of non-Gaussian parameters may be a feasible way to detect or constrain higher-order correlators in local models of non-Gaussianity, as well as to distinguish between single and multiple-source scenarios for generating the primordial density perturbation, and more generally to probe the details of inflationary physics.
@article{arxiv.1111.2721,
title = {Inhomogeneous non-Gaussianity},
author = {Christian T. Byrnes and Sami Nurmi and Gianmassimo Tasinato and David Wands},
journal= {arXiv preprint arXiv:1111.2721},
year = {2012}
}
Comments
16 pages, 2 figures; v2: Minor changes and references added. Matches the published version