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arXiv · 2010.13238

Vector mesons spectrum in a medium with a chiral imbalance induced by the vacuum of fermions

Vladimir Kovalenko·Alexander Andrianov·Vladimir Andrianov
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Abstract

The properties of the light vector mesons in the presence of local parity breaking medium with a chiral imbalance are considered in the vector-meson dominance model. Applying the finite lowest-order radiatively induced local effective Lagrangian, initially developed for the QED, for the vector $\rho$ and $\omega$ mesons, we obtained the mass spectrum as a function of momentum and chiral chemical potential $\mu_5$. We showed that in addition to the Chern-Simons term, splitting the transverse polarisations of the mesons, there is another radiatively induced contribution that becomes important at momentum and $\mu_5$ around a few hundred MeV.

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Vladimir Kovalenko, Alexander Andrianov, Vladimir Andrianov. 2020-10-25. Vector mesons spectrum in a medium with a chiral imbalance induced by the vacuum of fermions. https://doi.org/10.1088/1742-6596/1690/1/012097

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