TY - JOUR
AB - 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.
AU - Laine, Mikko
ID - 1601644
IS - 10
JF - JOURNAL OF HIGH ENERGY PHYSICS
KW - Chern-Simons theories
KW - thermal field theory
KW - baryogenesis
KW - global symmetries
SN - 1126-6708
TI - Real-time Chern-Simons term for hypermagnetic fields
VL - 2005
ER -