Dynamical gauge fields and anomalous transport at strong coupling

Abstract

Anomalous transport coefficients are known to be universal in the absence of dynamical gauge fields. We calculate the corrections to these universal values due to dynamical gluon fields at strong coupling, at finite temperature and finite density, using the holographic duality. We show that the consistent chiral magnetic and chiral vortical currents receive no corrections, while we derive a semi-analytic formula for the chiral separation conductivity. We determine these corrections in the large color, large flavor limit, in terms of a series expansion in the anomalous dimension $\Delta$ of the axial current in terms of physical parameters $\Delta$, temperature, electric and chiral chemical potentials and the flavor to color ratio $\frac{N_f}{N_c}$. Our results are applicable to a generic class of chiral gauge theories that allow for a holographic description in the gravity approximation. We also determine the dynamical gluon corrections to the chiral vortical separation current in a particular example in the absence of external axial fields.

arXiv comment28 pages + appendices, 3 figures

References in corpus (40)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Nonlinear Fluid Dynamics from Gravity
• Observation of the chiral magnetic effect in ZrTe5
• Hydrodynamics with Triangle Anomalies
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Fluid dynamics of R-charged black holes
• Gravitational Anomaly and Transport
• Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Chiral symmetry breaking as open string tachyon condensation
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermodynamics, gravitational anomalies and cones
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Towards the String Dual of N=1 SQCD-like Theories
• Room-temperature chiral charge pumping in Dirac semimetals
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions
• Generalized Bloch theorem and chiral transport phenomena
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• A Gravity Dual of the Chiral Anomaly
• Normal ground state of dense relativistic matter in a magnetic field
• Response of strongly-interacting matter to magnetic field: some exact results
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Anomalies to All Orders
• Radiative corrections to chiral separation effect in QED
• Anomalous Magneto Response and the Stückelberg Axion in Holography
• Global Anomalies, Discrete Symmetries, and Hydrodynamic Effective Actions
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• (Non)renormalization of Anomalous Conductivities and Holography
• Numerical evidence of the axial magnetic effect
• The CP-odd sector and $\theta$ dynamics in holographic QCD
• Dielectric correction to the Chiral Magnetic Effect
• Chiral asymmetry and axial anomaly in magnetized relativistic matter
• Charge-dependent anisotropic flow studies and the search for the Chiral Magnetic Wave in ALICE
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Chiral Magnetic Effect in Heavy Ion Collisions