Proceedings of the Particle Physics and Early Universe Conference (PPEUC).
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A New Statistic for the Detection of Long Strings in Microwave Background Maps

Leandros Perivolaropoulos

Department of Physics, University of Crete,
71003 Heraklion, GREECE


A new statistic is discussed, designed to detect isolated coherent step-like discontinuities produced by cosmic strings present at late times. As a background I superpose a scale invariant Gaussian random field which could have been produced by a superposition of seeds on all scales and/or by inflationary quantum fluctuations. The effects of uncorrelated Gaussian random noise are also included. The statistical variable considered is the Sample Mean Difference (SMD) between large neighbouring sectors of CMB maps, separated by straight lines in two dimensional maps and points in one dimensional maps. I find that the SMD statistics can detect at the level the presense of a long string with while more conventional statistics like the skewness or the kurtosis require a value of almost an order of magnitude larger for detectability at a comparable level.

PPEUC Proceedings
Fri Jul 25 11:45:54 BST 1997