Microwave Background Signatures of a Primordial Stochastic Magnetic Field

Details Microwave Background Signatures of a Primordial Stochastic Magnetic Field Microwave Background Signatures of a Primordial Stochastic Magnetic Field

2001-05-29

arxiv.org/abs/astro-ph/0105504v2

Phys.Rev.D65:123004,2002

Astronomy and Astrophysics

Astrophysics

28 pages, 3 Postscript figures. Improved treatments on vorticity and magnetic damping. Revised version in response to the refe

Scientific paper

10.1103/PhysRevD.65.123004

A stochastic magnetic field in the early Universe will produce anisotropies in the temperature and polarization of the cosmic microwave background. We derive analytic expressions for the microwave background temperature and polarization power spectra induced by vector and tensor perturbations from a power-law magnetic field. For a scale-invariant stochastic magnetic field smoothed over a comoving scale of $1 {\rm Mpc}$, the MAP satellite has the potential to constrain the comoving mean-field amplitude to be no greater than approximately $2\times10^{-9}$ G. Limits improve as the power-law slope increases: for causally-generated power-law magnetic fields, the comoving mean-field amplitude has an upper bound of approximately $4\times10^{-13} {\rm G}$. Such constraints will surpass all current limits on galactic-scale primordial stochastic magnetic fields at decoupling.

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