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      Cosmological Signature of New Parity-Violating Interactions

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          Abstract

          Does Nature yield any manifestations of parity violation other than those observed in weak interactions? A map of the cosmic microwave background (CMB) temperature and polarization will provide a new signature of P violation. We give two examples of new P violating interactions, which may have something to do with Planck-scale physics, inflation, and/or quintessence, that would give rise to such a signature. Although these effects would most likely elude detection by MAP and the Planck Surveyor, they may be detectable with a future dedicated CMB polarization experiment.

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          Master Stability Functions for Synchronized Coupled Systems

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            Statistics of Cosmic Microwave Background Polarization

            We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point correlation function. Polarization, which is described by a second-rank tensor, can be treated analogously by expanding in the appropriate tensor spherical harmonics. We provide expressions for the complete set of temperature and polarization multipole moments for scalar and tensor metric perturbations. Four sets of multipole moments completely describe isotropic temperature and polarization correlations; for scalar metric perturbations one set is identically zero, giving the possibility of a clean determination of the vector and tensor contributions. The variance with which the multipole moments can be measured in idealized experiments is evaluated, including the effects of detector noise, sky coverage, and beam width. Finally, we construct coordinate-independent polarization two-point correlation functions, express them in terms of the multipole moments, and derive small-angle limits.
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              A Probe of Primordial Gravity Waves and Vorticity

              A formalism for describing an all-sky map of the polarization of the cosmic microwave background is presented. The polarization pattern on the sky can be decomposed into two geometrically distinct components. One of these components is not coupled to density inhomogeneities. A non-zero amplitude for this component of polarization can only be caused by tensor or vector metric perturbations. This allows unambiguous identification of long-wavelength gravity waves or large-scale vortical flows at the time of last scattering.
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                Author and article information

                Journal
                03 December 1998
                1999-07-23
                Article
                10.1103/PhysRevLett.83.1506
                astro-ph/9812088
                5ce9880d-066c-47d0-9b26-bb931efa36db
                History
                Custom metadata
                CU-TP-926, CAL-675
                Phys.Rev.Lett. 83 (1999) 1506-1509
                4 pages, 2 figures. Origin of new terms clarified, to be published in Physical Review Letters
                astro-ph gr-qc hep-ph hep-th

                General relativity & Quantum cosmology,General astrophysics,High energy & Particle physics

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