https://doi.org/10.1140/epjc/s10052-019-6576-z
Regular Article - Theoretical Physics
Gradient resummation for nonlinear chiral transport: an insight from holography
1
Department of Physics, Harbin Institute of Technology, Harbin, 150001, China
2
Department of Physics, Ben-Gurion University of the Negev, 84105, Beersheba, Israel
* e-mail: demircik@post.bgu.ac.il
Received:
10
August
2018
Accepted:
8
January
2019
Published online:
22
January
2019
Nonlinear transport phenomena induced by chiral anomaly are explored within a 4D field theory defined holographically as Maxwell–Chern–Simons theory in Schwarzschild-
. In presence of weak constant background electromagnetic fields, the constitutive relations for vector and axial currents, resummed to all orders in the gradients of charge densities, are encoded in nine momenta-dependent transport coefficient functions (TCFs). These TCFs are first calculated analytically up to third order in gradient expansion, and then evaluated numerically beyond the hydrodynamic limit. Fourier transformed, the TCFs become memory functions. The memory function of the chiral magnetic effect (CME) is found to differ dramatically from the instantaneous response form of the original CME. Beyond hydrodynamic limit and when external magnetic field is larger than some critical value, the chiral magnetic wave (CMW) is discovered to possess a discrete spectrum of non-dissipative modes.
© The Author(s), 2019