Dynamical color conductivity of a chiral quark-gluon plasma

The dynamical chromoelectric color conductivity of a chiral plasma has been extracted from one loop gluon self energy by using linear response theory at finite temperature and density. It is shown that due to the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>P</a:mi> </a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mi>C</c:mi> <c:mi>P</c:mi> </c:math> violation the conductivity tensor has an anomalous contribution in addition to the longitudinal and transverse components. We identify this anomalous conductivity as chiral chromomagnetic conductivity. The spectral representations of real and imaginary parts of the longitudinal and transverse conductivities show marginal variations in chiral plasma as compared to the nonchiral plasma. The static limit of chiral chromomagnetic conductivity is found to be independent of medium properties reflecting its topological nature.