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Minimal cut-off vacuum state constraints from CMB bispectrum statistics · Around

2010

Minimal cut-off vacuum state constraints from CMB bispectrum statistics

Meerburg, P. Daniel, van der Schaar, Jan Pieter

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In this short note we translate the best available observational bounds on the CMB bispectrum amplitudes into constraints on a specific scale-invariant New Physics Hypersurface (NPH) model of vacuum state modifications, as first proposed by Danielsson, in general models of single-field inflation.

As compared to the power spectrum the bispectrum constraints are less ambiguous and provide an interesting upper bound on the cut-off scale in general models of single-field inflation with a small speed of sound.
This upper bound is incompatible with the power spectrum constraint for most of the parameter domain, leaving very little room for minimal cut-off vacuum state modifications in general single-field models with a small speed of sound.

Built on

U. H. Danielsson, “A note on inflation and transplanckian physics,” Phys. Rev. D 66
2002
Earlier work this paper cites.
R. Easther, B. R. Greene, W. H. Kinney and G. Shiu, “Inflation as a probe of short distance physics,” Phys. Rev. D 64
2003
Earlier work this paper cites.
P. Creminelli, “On non-gaussianities in single-field inflation,” JCAP 0310
2003
Earlier work this paper cites.
D. Seery and J. E. Lidsey, “Primordial non-gaussianities in single field inflation,” JCAP 0506
2005
Earlier work this paper cites.
X. Chen, M. x. Huang, S. Kachru and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 0701
2007
Earlier work this paper cites.

Similar

L. Bergstrom and U. H. Danielsson, “Can MAP and Planck map Planck physics?,” JHEP 0212
2007
Cited alongside, same era.
R. Holman and A. J. Tolley, “Enhanced Non-Gaussianity from Excited Initial States,” JCAP 0805
Original
2008
Cited alongside, same era.
P. D. Meerburg, J. P. van der Schaar and P. S. Corasaniti, “Signatures of Initial State Modifications on Bispectrum Statistics,” JCAP 0905
Original
2009
Cited alongside, same era.
J. R. Fergusson and E. P. S. Shellard, “The shape of primordial non-Gaussianity and the CMB bispectrum,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
X. Chen, “Folded Resonant Non-Gaussianity in General Single Field Inflation,” arXiv:1008.2485 [hep-th]
Original
Cited in the paper.

Then

K. M. Smith, L. Senatore and M. Zaldarriaga, “Optimal limits on f NL l o c a l f_{\mathrm{NL}}^{local} from WMAP 5-year data,” JCAP 0909
Original
2009
Later among the works it cites.
P. D. Meerburg, J. P. van der Schaar and M. G. Jackson, “Bispectrum signatures of a modified vacuum in single field inflation with a small speed of sound,” JCAP 1002
Original
2010
Closest in time.
P. D. Meerburg, “Oscillations in the Primordial Bispectrum: Mode Expansion,” Phys. Rev. D 82
Original
2010
Closest in time.
W. H. Kinney and K. Tzirakis, “Quantum modes in DBI inflation: exact solutions and constraints from vacuum selection,” Phys. Rev. D 77
Original
2043
Closest in time.

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L. Senatore, K. M. Smith and M. Zaldarriaga, “Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data,” arXiv:0905.3746 [astro-ph]

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