Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly

Details Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly

1997-02-28

arxiv.org/abs/astro-ph/9703005v2

Phys.Rev.Lett. 79 (1997) 1193-1196

Astronomy and Astrophysics

Astrophysics

Revised version, to appear in Phys. Rev. Lett.. Analysis has been extended to larger chemical potentials, for which large magn

Scientific paper

10.1103/PhysRevLett.79.1193

In the standard model there are charges with abelian anomaly only (e.g. right-handed electron number) which are effectively conserved in the early universe until some time shortly before the electroweak scale. A state at finite chemical potential of such a charge, possibly arising due to asymmetries produced at the GUT scale, is unstable to the generation of hypercharge magnetic field. Quite large magnetic fields ($\sim 10^{22}$ gauss at $T\sim 100$ GeV with typical inhomogeneity scale $ \sim \frac{ 10^6}{T}$) can be generated. These fields may be of cosmological interest, potentially acting as seeds for amplification to larger scale magnetic fields through non-linear mechanisms. Previously derived bounds on exotic $B-L$ violating operators may also be evaded.

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