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Employing the perturbative treatment of gravitational clustering, we discuss possible effects of primordial non-Gaussianity on the matter power spectrum. As gravitational clustering develops, the coupling between different Fourier modes of…

Astrophysics · Physics 2009-01-08 Atsushi Taruya , Kazuya Koyama , Takahiko Matsubara

Several conserved and/or gauge invariant quantities described as the second-order curvature perturbation have been given in the literature. We revisit various scenarios for the generation of second-order non-gaussianity in the primordial…

Astrophysics · Physics 2007-05-23 David H. Lyth , Yeinzon Rodriguez

We analytically derive a more accurate formula for the power spectrum of the biased objects with the primordial non-Gaussianity parameterized not only by the non-linearity parameter fNL, but also by gNL and tauNL which characterize the…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Shuichiro Yokoyama , Takahiko Matsubara

We investigate the second order energy density perturbation $\delta^{(2)}$ induced by small-scale Gaussian and local-type non-Gaussian primordial curvature perturbations. The relative abundance of primordial black hole is calculated in…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-13 Jing-Zhi Zhou , Yu-Ting Kuang , Zhe Chang , Xukun Zhang , Qing-Hua Zhu

The \delta N formalism is extended to include the perturbation of the vector field. The latter is quantized in de Sitter space-time and it is found that in general the particle production process of the vector field is anisotropic. This…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-10 Mindaugas Karciauskas

We point out that a light scalar field fluctuating around a symmetry-enhaced point can generate large non-Gaussianity in density fluctuations. We name such a particle as an "ungaussiton", a scalar field dominantly produced by the quantum…

Astrophysics · Physics 2009-06-23 Teruaki Suyama , Fuminobu Takahashi

We present a non-perturbative method for calculating the abundance of primordial black holes given an arbitrary one-point probability distribution function for the primordial curvature perturbation, $P(\zeta)$. A non-perturbative method is…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-01 Andrew D. Gow , Hooshyar Assadullahi , Joseph H. P. Jackson , Kazuya Koyama , Vincent Vennin , David Wands

Motivated by the interest in models of the early universe where statistical isotropy is broken and can be revealed in cosmological observations, we consider an SU(2) theory of gauge interactions in a single scalar field inflationary…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Nicola Bartolo , Emanuela Dimastrogiovanni , Sabino Matarrese , Antonio Riotto

We study the effects of a general type of features of the inflaton potential on the spectrum and bispectrum of primordial curvature perturbations. These features correspond to a discontinuity in the $n$-th order derivative of the potential…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-25 Alexander Gallego Cadavid

We give new constraints on small-scale non-Gaussianity of primordial curvature perturbations by the use of anisotropies in acoustic reheating. Mixing of local thermal or local kinetic equilibrium systems with different temperatures yields a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Atsushi Naruko , Atsuhisa Ota , Masahide Yamaguchi

We investigate in detail the spectrum of gravitational waves induced by a peaked primordial curvature power spectrum generated in single field inflationary models. We argue that the $f_{\rm NL}$ parameter can be inferred by measuring the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-15 Vicente Atal , Guillem Domènech

We consider theories which explain the flatness of the power spectrum of scalar perturbations in the Universe by conformal invariance, such as conformal rolling model and Galilean Genesis. We show that to the leading {\it non-linear} order,…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 M. Libanov , S. Mironov , V. Rubakov

Scalar metric fluctuations generically source a spectrum of gravitational waves at second order in perturbation theory, poising gravitational wave experiments as potentially powerful probes of the small-scale curvature power spectrum. We…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-20 Peter Adshead , Kaloian D. Lozanov , Zachary J. Weiner

Local-type primordial non-Gaussianity couples statistics of the curvature perturbation \zeta on vastly different physical scales. Because of this coupling, statistics (i.e. the polyspectra) of \zeta in our Hubble volume may not be…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Marilena LoVerde , Elliot Nelson , Sarah Shandera

Upcoming galaxy redshift surveys promise to significantly improve current limits on primordial non-Gaussianity (PNG) through measurements of 2- and 3-point correlation functions in Fourier space. However, realizing the full potential of…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-19 Azadeh Moradinezhad Dizgah , Matteo Biagetti , Emiliano Sefusatti , Vincent Desjacques , Jorge Noreña

Primordial non-Gaussianity encodes vital information of the physics of the early universe, particularly during the inflationary epoch. To explore the local-type primordial non-Gaussianity $f_{\mathrm{NL}}$, we study the anisotropies in…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Jun-Peng Li , Sai Wang , Zhi-Chao Zhao , Kazunori Kohri

We present a new mechanism for generating primordial statistical anisotropy of curvature perturbations. We introduce a vector field which has a non-minimal kinetic term and couples with a waterfall field in hybrid inflation model. In such a…

Astrophysics · Physics 2011-07-13 Shuichiro Yokoyama , Jiro Soda

We calculate the tree-level bispectrum of the inflaton field perturbation directly from the field equations, and construct the corresponding f_NL parameter. Our results agree with previous ones derived from the Lagrangian. We argue that…

Astrophysics · Physics 2009-06-23 David Seery , Karim A. Malik , David H. Lyth

It has been found that the primordial non-Gaussianity of the curvature perturbation in the case of non-Bunch-Davies initial states can be enhanced compared with those in the case of the Bunch-Davies one due to the interactions among the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Shingo Akama , Shin'ichi Hirano , Tsutomu Kobayashi

We continue to investigate possible signatures of a pre-inflationary anisotropic phase in two-point and three point correlation functions of the curvature perturbation for high-momentum modes which exit the horizon well after…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Anindya Dey , Ely D. Kovetz , Sonia Paban