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Extracting Spectral Index of Intergalactic Magnetic Field from Radio Polarizations

We explain the large scale correlations in radio polarization in terms of the correlations of galaxy cluster/supercluster magnetic field. Assuming that the polarization correlations closely follow the spatial correlations of the background magnetic field we recover the magnetic field spectral index as -2.74$\pm$0.04.This remarkably agrees with cluster magnetic field spectral index obtained in cosmological magneto-hydrodynamic simulations. We discuss possible physical scenarios in which the observed polarization alignment is plausible.