Abstract
We report on the time evolution of a charged strongly coupled N = 4 SYM plasma with an axial anomaly subjected to strong electromagnetic fields. The evolution of this plasma corresponds to a fully backreacted asymptotically AdS5 solution to the Einstein-Maxwell-Chern-Simons theory. We explore the evolution of the axial current and production of axial charges. As an application we show that after a sufficiently long time both the entropy and the holographic entanglement entropy of a strip-like topology (both parallel to and transverse to the flow of axial current) grow linearly in time.
Highlights
We report on the time evolution of a charged strongly coupled N = 4 SYM plasma with an axial anomaly subjected to strong electromagnetic fields
In this work we compute for the first time the dynamical evolution of a charged strongly coupled far from equilibrium plasma with a chiral anomaly subjected to external electromagnetic fields
We have displayed the axial current density in the simplest dynamical setup possible to capture the evolution of the current generated due to the axial anomaly during the isotropization of a plasma
Summary
We employ the characteristic formulation of general relativity first formulated in [59, 60] and implemented in a myriad of subsequent publications for the study of dynamical systems in asymptotically anti-de-Sitter spacetime (some examples [33,34,35,36,37,38,39,40,41,42, 49, 52]). When the Chern-Simons term is not present the integration constant ρ can be interpreted as the axial charge density (see eq (2.38)) This contribution to the total axial charge is a constant throughout the evolution and we are free to set this quantity to zero if we choose. The full equations are included in appendix C Inspecting these equations one finds that eq (2.13a) is no longer a linear ODE, the first equation of the nested list structure has developed a non-linearity by the inclusion of the Chern-Simons term and requires two pieces of initial data, the anisotropy profile at the initial time v0, B(v0, r), and the bulk electric field profile P (v0, r). As proven to be a valid regularization procedure in [58]
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