TY - JOUR
T1 - Gradient resummation for nonlinear chiral transport
T2 - an insight from holography
AU - Bu, Yanyan
AU - Demircik, Tuna
AU - Lublinsky, Michael
N1 - Funding Information: Acknowledgements YB would like to thank the hospitality of Department of Physics of Ben-Gurion University of the Negev where this work was initialised and finalised. YB was supported by the Fundamental Research Funds for the Central Universities under Grant no. 122050205032 and the Natural Science Foundation of China (NSFC) under the grant no. 11705037. TD and ML were supported by the Israeli Science Foundation (ISF) Grant #1635/16 and the BSF Grants #2012124 and #2014707. Publisher Copyright: © 2019, The Author(s).
PY - 2019/1/1
Y1 - 2019/1/1
N2 - Nonlinear transport phenomena induced by chiral anomaly are explored within a 4D field theory defined holographically as U(1) V× U(1) A Maxwell–Chern–Simons theory in Schwarzschild-AdS5. 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.
AB - Nonlinear transport phenomena induced by chiral anomaly are explored within a 4D field theory defined holographically as U(1) V× U(1) A Maxwell–Chern–Simons theory in Schwarzschild-AdS5. 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.
UR - http://www.scopus.com/inward/record.url?scp=85060510547&partnerID=8YFLogxK
U2 - https://doi.org/10.1140/epjc/s10052-019-6576-z
DO - https://doi.org/10.1140/epjc/s10052-019-6576-z
M3 - Article
SN - 1434-6044
VL - 79
JO - European Physical Journal C
JF - European Physical Journal C
IS - 1
M1 - 54
ER -