Generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation

被引:197
作者
Easther, R [1 ]
Greene, BR
Kinney, WH
Shiu, G
机构
[1] Columbia Univ, Inst Strings Cosmol & Astroparticle Phys, New York, NY 10027 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
[3] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA
关键词
D O I
10.1103/PhysRevD.66.023518
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive a general expression for the power spectra of scalar and tensor fluctuations generated during inflation given an arbitrary choice of boundary condition for the mode function at a short distance. We assume that the boundary condition is specified at a short-distance cutoff at a scale M which is independent of time. Using a particular prescription for the boundary condition at momentum psimilar toM, we find that the modulation to the power spectra of density and gravitational wave fluctuations is of order (H/M), where H is the Hubble parameter during inflation, and we argue that this behavior is generic, although by no means inevitable. With a fixed boundary condition, we find that the shape of the modulation to the power spectra is determined entirely by the deviation of the background spacetime from the de Sitter limit.
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页数:9
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共 38 条
[1]   Modified dispersion relations from closed strings in toroidal cosmology [J].
Bastero-Gil, M ;
Frampton, PH ;
Mersini, L .
PHYSICAL REVIEW D, 2002, 65 (10)
[2]   Supernova type Ia data and the cosmic microwave background of modified curvature at short and large distances [J].
Bastero-Gil, M ;
Mersini, L .
PHYSICAL REVIEW D, 2002, 65 (02)
[3]   Noncommutative spacetime, stringy spacetime uncertainty principle, and density fluctuations [J].
Brandenberger, R ;
Ho, PM .
PHYSICAL REVIEW D, 2002, 66 (02)
[4]   The robustness of inflation to changes in super-Planck-scale physics [J].
Brandenberger, RH ;
Martin, J .
MODERN PHYSICS LETTERS A, 2001, 16 (15) :999-1006
[5]  
BRANDENBERGER RH, HEPTH0202142
[6]  
BRANDENBERGER RH, HEPTH0112122
[7]   Remarks on inflation and noncommutative geometry [J].
Chu, CS ;
Greene, BR ;
Shiu, G .
MODERN PHYSICS LETTERS A, 2001, 16 (34) :2231-2240
[8]   Probing Planckian physics: Resonant production of particles during inflation and features in the primordial power spectrum [J].
Chung, DJH ;
Kolb, EW ;
Riotto, A ;
Tkachev, II .
PHYSICAL REVIEW D, 2000, 62 (04) :13
[9]   RECONSTRUCTING THE INFLATION POTENTIAL - IN PRINCIPLE AND IN PRACTICE [J].
COPELAND, EJ ;
KOLB, EW ;
LIDDLE, AR ;
LIDSEY, JE .
PHYSICAL REVIEW D, 1993, 48 (06) :2529-2547
[10]   Note on inflation and trans-Planckian physics [J].
Danielsson, UH .
PHYSICAL REVIEW D, 2002, 66 (02)