Real-time Chern-Simons term for hypermagnetic fields

Details Real-time Chern-Simons term for hypermagnetic fields Real-time Chern-Simons term for hypermagnetic fields

2005-08-18

arxiv.org/abs/hep-ph/0508195v1

JHEP 0510:056,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages

Scientific paper

10.1088/1126-6708/2005/10/056

If non-vanishing chemical potentials are assigned to chiral fermions, then a Chern-Simons term is induced for the corresponding gauge fields. In thermal equilibrium anomalous processes adjust the chemical potentials such that the coefficient of the Chern-Simons term vanishes, but it has been argued that there are non-equilibrium epochs in cosmology where this is not the case and that, consequently, certain fermionic number densities and large-scale (hypermagnetic) field strengths get coupled to each other. We generalise the Chern-Simons term to a real-time situation relevant for dynamical considerations, by deriving the anomalous Hard Thermal Loop effective action for the hypermagnetic fields, write down the corresponding equations of motion, and discuss some exponentially growing solutions thereof.

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