Chiral hydrodynamics in strong external magnetic fields

Abstract

We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.

Description
Keywords
High Energy Physics - Theory, Strongly Correlated Electrons, General Relativity and Quantum Cosmology, Nuclear Theory, AdS-CFT Correspondence, Effective Field Theories, Holography and condensed matter physics (AdS/CMT), Holography and quark-gluon plasmas
Citation
Ammon, M., Grieninger, S., Hernandez, J., Kaminski, M., Koirala, R., Leiber, J., & Wu, J. (2021). Chiral hydrodynamics in strong external magnetic fields. In Journal of High Energy Physics (Vol. 2021, Issue 4). Springer Science and Business Media LLC. https://doi.org/10.1007/jhep04(2021)078