Abstract
We perform the first systematic study of the nonlinear electromagnetic currents induced by the external electromagnetic field in quark-gluon plasma, in cases where the inhomogeneity of the electromagnetic field is small (large) so that the collision effect is important (negligible). In the former case, we list and classify possible components of the currents in a systematic way and make an order estimate of each component by using the Boltzmann equation in the relaxation time approximation. In the latter case, we explicitly calculate the quadratic current by using the Vlasov equation, and we find that the current generated by the chiral magnetic effect and the quadratic current can have the same order of magnitude by using the Kadanoff-Baym equation. We also demonstrate this property by using a possible configuration of the electromagnetic field realized in a heavy ion collision.
- Received 1 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.034018
© 2014 American Physical Society