Nonlinear chiral transport from holography

A bstract Nonlinear transport phenomena induced by the chiral anomaly are explored within a 4D field theory defined holographically as U(1) V × U(1) A Maxwell-Chern-Simons theory in Schwarzschild- AdS 5 . First, in presence of external electromagnetic fields, a general form of vector and axial curre...

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Bibliographic Details
Published in:The journal of high energy physics 2019-01, Vol.2019 (1), p.1-33, Article 78
Main Authors: Bu, Yanyan, Demircik, Tuna, Lublinsky, Michael
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
Diffusion effects
Electromagnetic fields
Elementary Particles
Field theory
Gauge-gravity correspondence
High energy physics
Holography
Holography and quark-gluon plasmas
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Relaxation time
String Theory
Transport phenomena
Wave propagation
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Summary:A bstract Nonlinear transport phenomena induced by the chiral anomaly are explored within a 4D field theory defined holographically as U(1) V × U(1) A Maxwell-Chern-Simons theory in Schwarzschild- AdS 5 . First, in presence of external electromagnetic fields, a general form of vector and axial currents is derived. Then, within the gradient expansion up to third order, we analytically compute all (over 50) transport coefficients. A wealth of higher order (nonlinear) transport phenomena induced by chiral anomaly are found beyond the Chiral Magnetic and Chiral Separation Effects. Some of the higher order terms are relaxation time corrections to the lowest order nonlinear effects. The charge diffusion constant and dispersion relation of the Chiral Magnetic Wave are found to receive anomaly-induced non-linear corrections due to e/m background fields. Furthermore, there emerges a new gapless mode, which we refer to as Chiral Hall Density Wave , propagating along the background Poynting vector.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2019)078