Gradient resummation for nonlinear chiral transport: an insight from holography

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- A d S 5 . In presence of weak constant background electromagnetic fields, the constitutive relations for vector...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2019, Vol.79 (1), p.1-22, Article 54
Main Authors: Bu, Yanyan, Demircik, Tuna, Lublinsky, Michael
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Charge density
Coding
Constitutive relationships
Electromagnetic fields
Electromagnetism
Elementary Particles
Field theory
Hadrons
Heavy Ions
Holography
Magnetic effects
Magnetic fields
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Transport phenomena
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Summary: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- A d S 5 . 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-6576-z