2011

Pearson's random walk in the space of the CMB phases: evidence for parity asymmetry

Hansen, M., Frejsel, A. M., Kim, J. et al.

Understand

The temperature fluctuations of the Cosmic Microwave Background (CMB) are supposed to be distributed randomly in both magnitude and phase, following to the simplest model of inflation.

In this paper, we look at the odd and even multipoles of the spherical harmonic decomposition of the CMB, and the different characteristics of these, giving rise to a parity asymmetry.
We compare the even and odd multipoles in the CMB power spectrum, and also the even and odd mean angles.
We find for the multipoles of the power spectrum, that there is power excess in odd multipoles, compared to even ones, meaning that we have a parity asymmetry.

Built on

The Statistics of Peaks of Gaussian Random Fields
J. M. Bardeen, J. R. Bond, N. Kaiser and A. S. Szalay · 1986
Earlier work this paper cites.
Quantum Theory of Angular Momentum
D. A. Varshalovich, A. N. Moskalev and V. K. Khersonskii · 1988
Earlier work this paper cites.
Spectra of perturbations produced by double inflation with an intermediate matter-dominated stage
D. Polarski and A. A. Starobinsky · 1992
Earlier work this paper cites.
Statistical analysis of Circular Data
N. I. Fisher · 1993
Earlier work this paper cites.
Evidence for non-gaussianity in the cobe dmr 4 year sky maps
P. G. Ferreira, J. Magueijo and K. M. Gorski · 1998
Earlier work this paper cites.
Directional statistics
K.V.Mardia and P.E.Jump · 2000
Earlier work this paper cites.
First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations
C. L. Bennett, et al · 2003
Earlier work this paper cites.
Non-gaussianity of the derived maps from the first-year wilkinson microwave anisotropy probe data
L. -Y. Chiang, P. D. Naselsky, O. V. Verkhodanov and M. J. Way · 2003
Earlier work this paper cites.
Phase cross-correlations of the wilkinson microwave anisotropy probe internal linear combination map and foregrounds
P. D. Naselsky, A. G. Doroshkevich and O. V. Verkhodanov · 2003
Earlier work this paper cites.
High resolution foreground cleaned CMB map from WMAP
M. Tegmark and A. de Oliveira-Costa · 2003
Earlier work this paper cites.
Phase correlations in cosmic microwave background temperature maps
P. Coles, P. Dineen, J. Earl and D. Wright · 2004
Earlier work this paper cites.
Detection of Non-Gaussianity in the Wilkinson Microwave Anisotropy Probe First-Year Data Using Spherical Wavelets
P. Vielva, E. Martínez-González, R. B. Barreiro, J. L. Sanz and L. Cayón · 2004
Earlier work this paper cites.
Non-Gaussian signatures in the temperature fluctuations observed by the Wilkinson Microwave Anisotropy Probe
C.G. Park · 2004
Earlier work this paper cites.
Testing for Non-Gaussianity in the Wilkinson Microwave Anisotropy Probe Data: Minkowski Functionals and the Length of the Skeleton
H. K. Eriksen, D. I. Novikov, P. B. Lilje, A. J. Banday and K. M. Gorski · 2004
Earlier work this paper cites.
Asymmetries in the local curvature of the WMAP data
F. K. Hansen, P. Cabella, D. Marinucci and N. Vittorio · 2004
Earlier work this paper cites.

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