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 ρ and ω mesons, we obtained the mass spectrum as a function of momentum and chiral chemical potential μ5. 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 μ 5 around a few hundred MeV.
Highlights
The chiral imbalance defined as an average difference between the numbers of RH and LH quarks may occur in the fireball after a heavy-ion collision at high energy
It can lead to the formation of a local parity breaking (LPB) in a quark-hadron medium and be adiabatically characterized by a chiral chemical potential μ5
Let us apply the definition of a vector meson field (3)
Summary
The chiral imbalance defined as an average difference between the numbers of RH and LH quarks may occur in the fireball after a heavy-ion collision at high energy. It can lead to the formation of a local parity breaking (LPB) in a quark-hadron medium and be adiabatically characterized by a chiral chemical potential μ5. The consistent way for the construction of the Lagrangian in the presence of constant axial-vector background has been obtained in [1, 2] for QED theory. The general idea of this work is to make use the finite lowest-order radiatively induced local effective Lagrangian (1) [1, 2] for the LIV γ-photon, and apply it for vector meson field containing the lightest vector mesons ρ0 and ω in the SU(2) flavor sector
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