By a careful implementation of gauge transformations involving long-wavelength modes, we show that a variety of effects involving squeezed bispectrum configurations, for which one Fourier mode is much shorter than the other two, cannot be gauged away, except for the unphysical exactly infinite-wavelength (k = 0) limit. Our result applies, in particular, to the Maldacena consistency relation for single-field ination, yielding a local non-Gaussianity strength flocal NL = -(5=12)(nS -1) (with nS the primordial spectral index of scalar perturbations), and to the fGR NL = -5=3 term, appearing in the dark matter bispectrum and in the halo bias, as a consequence of the general relativistic non-linear evolution of matter perturbations. Such effects are therefore physical and observable in principle by future high-sensitivity experiments.
Resilience of long modes in cosmological observables
Matarrese S.;
2021
Abstract
By a careful implementation of gauge transformations involving long-wavelength modes, we show that a variety of effects involving squeezed bispectrum configurations, for which one Fourier mode is much shorter than the other two, cannot be gauged away, except for the unphysical exactly infinite-wavelength (k = 0) limit. Our result applies, in particular, to the Maldacena consistency relation for single-field ination, yielding a local non-Gaussianity strength flocal NL = -(5=12)(nS -1) (with nS the primordial spectral index of scalar perturbations), and to the fGR NL = -5=3 term, appearing in the dark matter bispectrum and in the halo bias, as a consequence of the general relativistic non-linear evolution of matter perturbations. Such effects are therefore physical and observable in principle by future high-sensitivity experiments.Pubblicazioni consigliate
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