Abstract
In this talk I review a recently proposed modulation of the power spectrum of primordial density fluctuations generated through transplankian (maybe stringy) effects during inflation. I briefly discuss the mechanism leading to the modulation, apply it to a generic slow-roll scenario of inflation and argue that the effects obtained are rather generic signatures of transplanckian physics. I also investigate how these primordial modulation effects may leave an imprint in the cosmic microwave background radiation, possibly detectable by satellite experiments.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. H. Brandenberger, “Inflationary cosmology: Progress and problems,” arXiv:hepph/9910410
J. Martin and R. H. Brandenberger, “The trans-Planckian problem of inflationary cosmology,” Phys. Rev. D 63, 123501 (2001) [arXiv:hep-th/0005209]
J. C. Niemeyer, “Inflation with a high frequency cutoff,” Phys. Rev. D 63, 123502 (2001) [arXiv:astro-ph/0005533]
R. H. Brandenberger and J. Martin, “The robustness of inflation to changes in super-Planck-scale physics,” Mod. Phys. Lett. A 16, 999 (2001) [arXiv:astroph/0005432]
A. Kempf, “Mode generating mechanism in inflation with cutoff,” Phys. Rev. D 63, 083514 (2001) [arXiv:astro-ph/0009209]
C. S. Chu, B. R. Greene and G. Shiu, “Remarks on inflation and noncommutative geometry,” Mod. Phys. Lett. A 16, 2231 (2001) [arXiv:hep-th/0011241]
J. Martin and R. H. Brandenberger, “A cosmological window on trans-Planckian physics,” arXiv:astro-ph/0012031
L. Mersini, M. Bastero-Gil and P. Kanti, “Relic dark energy from trans-Planckian regime,” Phys. Rev. D 64, 043508 (2001) [arXiv:hep-ph/0101210].
J. C. Niemeyer and R. Parentani, “Trans-Planckian dispersion and scale-invariance of inflationary perturbations,” Phys. Rev. D 64, 101301 (2001) [arXiv:astroph/0101451]
A. Kempf and J. C. Niemeyer, “Perturbation spectrum in inflation with cutoff,” Phys. Rev. D 64, 103501 (2001) [arXiv:astro-ph/0103225]
A. A. Starobinsky, “Robustness of the inflationary perturbation spectrum to trans-Planckian physics,” Pisma Zh. Eksp. Teor. Fiz. 73, 415 (2001) [JETP Lett. 73, 371 (2001)] [arXiv:astro-ph/0104043]
R. Easther, B. R. Greene, W. H. Kinney and G. Shiu, “Inflation as a probe of short distance physics,” Phys. Rev. D 64, 103502 (2001) [arXiv:hep-th/0104102]
M. Bastero-Gil and L. Mersini, “SN1A data and CMB of Modified Curvature at Short and Large Distances,” Phys. Rev. D 65 (2002) 023502 [arXiv:astroph/0107256]
L. Hui and W. H. Kinney, “Short distance physics and the consistency relation for scalar and tensor fluctuations in the inflationary universe,” arXiv:astro-ph/0109107
R. Easther, B. R. Greene, W. H. Kinney and G. Shiu, “Imprints of short distance physics on inflationary cosmology,” arXiv:hep-th/0110226
M. Bastero-Gil, P. H. Frampton and L. Mersini, “Modified dispersion relations from closed strings in toroidal cosmology,” arXiv:hep-th/0110167
R. H. Brandenberger, S. E. Joras and J. Martin, “Trans-Planckian physics and the spectrum of fluctuations in a bouncing universe,” arXiv:hep-th/0112122
J. Martin and R. H. Brandenberger, “The Corley-Jacobson dispersion relation and trans-Planckian inflation,” arXiv:hep-th/0201189
J. C. Niemeyer, “Cosmological consequences of short distance physics,” arXiv:astro-ph/0201511
F. Lizzi, G. Mangano, G. Miele and M. Peloso, “Cosmological perturbations and short distance physics from noncommutative geometry,” arXiv:hep-th/0203099
G. Shiu and I. Wasserman, “On the signature of short distance scale in the cosmic microwave background,” arXiv:hep-th/0203113
R. Brandenberger and P. M. Ho, “Noncommutative spacetime, stringy spacetime uncertainty principle, and density fluctuations,” arXiv:hep-th/0203119
S. Shankaranarayanan, “Is there an imprint of Planck scale physics on inflationary cosmology?,” arXiv:gr-qc/0203060
N. Kaloper, M. Kleban, A. E. Lawrence and S. Shenker, “Signatures of short distance physics in the cosmic microwave background,” arXiv:hep-th/0201158
R. H. Brandenberger and J. Martin, “On signatures of short distance physics in the cosmic microwave background,” arXiv:hep-th/0202142
S. F. Hassan and M. S. Sloth, “Trans-Planckian effects in inflationary cosmology and the modified uncertainty principle,” arXiv:hep-th/0204110
U. H. Danielsson, “A note on inflation and transplanckian physics,” Phys. Rev. D 66, 023511 (2002) [arXiv:hep-th/0203198]
R. Easther, B. R. Greene, W. H. Kinney and G. Shiu, “A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation,” arXiv:hepth/0204129
U.H. Danielsson, “Inflation, holography and the choice of vacuum in de Sitter space,” JHEP 0207, 040 (2002) [arXiv:hep-th/0205227]
J. C. Niemeyer, R. Parentani and D. Campo, “Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff,” arXiv:hepth/0206149
K. Goldstein and D. A. Lowe, “Initial state effects on the cosmic microwave background and trans-planckian physics,” arXiv:hep-th/0208167
U H. Danielsson, “On the consistency of de Sitter vacua,” hep-th/0210058
R. H. Brandenberger, “Trans-Planckian physics and inflationary cosmology,” arXiv:hep-th/0210186
W. H. Kinney, “Cosmology, inflation, and the physics of nothing,” arXiv:astroph/0301448
K. Goldstein and D. A. Lowe, “A note on alpha-vacua and interacting field theory in de Sitter space,” Nucl. Phys. B 669 (2003) 325 [arXiv:hep-th/0302050]
G. L. Alberghi, R. Casadio and A. Tronconi, “Trans-Planckian footprints in inflationary cosmology,” arXiv:gr-qc/0303035
C. Armendariz-Picon and E. A. Lim, “Vacuum choices and the predictions of inflation,” arXiv:hep-th/0303103
D. J. Chung, A. Notari and A. Riotto, “Minimal theoretical uncertainties in inflationary predictions,” arXiv:hep-ph/0305074
J. Martin and R. Brandenberger, “On the dependence of the spectra of fluctuations in inflationary cosmology on trans-Planckian physics,” arXiv:hep-th/0305161
The NASA MAP mission, homepage http://map.gsfc.nasa.gov/
The ESA Planck mission, homepage http://astro.estec.esa.nl/SA-general/Projects/Planck/
L. Bergström and U. H. Danielsson, “Can MAP and Planck map Planck physics?,” JHEP 0212 (2002) 038 [arXiv:hep-th/0211006]
D. Polarski and A. A. Starobinsky, “Semiclassicality and decoherence of cosmological perturbations,” Class. Quant. Grav. 13, 377 (1996) [arXiv:gr-qc/9504030]
V. Bozza, M. Giovannini and G. Veneziano, JCAP 0305 (2003) 001 [arXiv:hepth/0302184]
N. Kaloper, M. Kleban, A. Lawrence, S. Shenker and L. Susskind, “Initial conditions for inflation,” arXiv:hep-th/0209231
N. A. Chernikov and E. A. Tagirov, “Quantum theory of scalar field in de Sitter space-time,” Ann. Inst. Henri Poincaré, vol. IX, nr 2, (1968) 109.
E. Mottola, “Particle Creation In De Sitter Space,” Phys. Rev. D 31 (1985) 754
B. Allen, “Vacuum States In De Sitter Space,” Phys. Rev. D 32 (1985) 3136
R. Floreanini, C. T. Hill and R. Jackiw, “Functional Representation For The Isometries Of De Sitter Space,” Annals Phys. 175 (1987) 345
R. Bousso, A. Maloney and A. Strominger, “Conformai vacua and entropy in de Sitter space,” arXiv:hep-th/0112218
M. Spradlin and A. Volovich, “Vacuum states and the S-matrix in dS/CFT,” arXiv:hep-th/0112223
T. Banks and L. Mannelli, “De Sitter vacua, renormalization and locality,” arXiv:hep-th/0209113
M. B. Einhorn and F. Larsen, “Interacting Quantum Field Theory in de Sitter Vacua,” arXiv:hep-th/0209159
M. B. Einhorn and F. Larsen, “Squeezed states in the de Sitter vacuum,” Phys. Rev. D 68 (2003) 064002 [arXiv:hep-th/0305056]
A. A. Starobinsky and I. I. Tkachev, “Trans-Planckian particle creation in cosmology and ultra-high energy cosmic rays,” arXiv:astro-ph/0207572
A. R. Liddle and D. H. Lyth, “Cosmological inflation and large-scale structure”, Cambridge University Press 2000
P. Horava and E. Witten, “Heterotic and type I string dynamics from eleven dimensions,” Nucl. Phys. B 460 (1996) 506 [arXiv:hep-th/9510209]
P. Horava and E. Witten, “Eleven-Dimensional Supergravity on a Manifold with Boundary,” Nucl. Phys. B 475 (1996) 94 [arXiv:hep-th/9603142]
J. Polchinski, “String Theory. Vol. 2: Superstring Theory And Beyond,” Cambridge, UK: Univ. Pr. (1998) 531
P. Mukherjee and Y. Wang, “Wavelet Band Powers of the Primordial Power Spectrum from CMB Data,” Astrophys. J. 593 (2003) 38 [arXiv:astro-ph/0301058]
J. R. Bond, G. Efstathiou and M. Tegmark, “Forecasting Cosmic Parameter Errors from Microwave Background Anisotropy Experiments,” Mon. Not. Roy. Astron. Soc. 291, L33–L41 (1997) [arXiv:astro-ph/9702100]
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Danielsson, U.H. (2004). Can Planck See Transplanck?. In: Klapdor-Kleingrothaus, H.V. (eds) Beyond the Desert 2003. Springer Proceedings in Physics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18534-2_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-18534-2_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62148-2
Online ISBN: 978-3-642-18534-2
eBook Packages: Springer Book Archive