  We investigate how local parity breaking (LPB) due to large topological
fluctuations may affect hadron physics. A distorted dispersion relation is
derived for the lightest vector mesons $\rho$ and $\omega$. They are
characterised by a mass splitting depending on their polarization. We present a
detailed analysis of the angular distribution associated to the lepton pairs
created from these mesons searching for polarization dependencies. Two angular
variables are found to carry the main information related to the parity
breaking effect. Possible signatures for experimental detection of local parity
breaking that could potentially be seen by the PHENIX and STAR collaborations
are discussed.
