Hydrodynamic fluctuations and topological susceptibility in chiral magnetohydrodynamics
arXiv:2403.16957 · doi:10.21468/SciPostPhys.17.2.042
Abstract
Chiral magnetohydrodynamics is devoted to understanding the late-time and long-distance behavior of a system with an Adler-Bell-Jackiw anomaly at finite temperatures. The non-conservation of the axial charge is determined by the topological density ; in a classical hydrodynamic description this decay rate can be suppressed by tuning the background magnetic field to zero. However it is in principle possible for thermal fluctuations of to result in a non-conservation of the charge even at vanishing -field; this would invalidate the classical hydrodynamic effective theory. We investigate this by computing the real-time susceptibility of the topological density at one-loop level in magnetohydrodynamic fluctuations, relating its low-frequency limit to the decay rate of the axial charge. We find that the frequency-dependence of this susceptibility is sufficiently soft as to leave the axial decay rate unaffected, validating the classical hydrodynamic description. We show that the susceptibility contains non-analytic frequency-dependence which is universally determined by hydrodynamic data. We comment briefly on possible connections to the recent formulation of the ABJ anomaly in terms of non-invertible symmetry.
arXiv commentrevtex, 21+3 pages and 1 figure
References in corpus (31)
- Generalized Global Symmetries
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Hydrodynamics with Triangle Anomalies
- Lectures on hydrodynamic fluctuations in relativistic theories
- Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
- Generalized Symmetries in Condensed Matter
- Effective dynamics of soft non-abelian gauge fields at finite temperature
- Notes on Anomaly Induced Transport
- Relativistic Hydrodynamics with General Anomalous Charges
- The hot baryon violation rate is
- Locally critical umklapp scattering and holography
- Generalized global symmetries and dissipative magnetohydrodynamics
- Memory matrix theory of magnetotransport in strange metals
- Holography and hydrodynamics with weakly broken symmetries
- Magnetohydrodynamics of Chiral Relativistic Fluids
- Lecture Notes on Generalized Symmetries and Applications
- Generalized global symmetries and holography
- Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
- Scaling laws in chiral hydrodynamic turbulence
- An Introduction to Higher-Form Symmetries
- Long Range Physics in a Hot Non-Abelian Plasma
- What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
- MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
- Charge transport by holographic Fermi surfaces
- Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature
- Introduction to Generalized Global Symmetries in QFT and Particle Physics
- Covariant and 3+1 Equations for Dynamo-Chiral General Relativistic Magnetohydrodynamics
- Chiral charge dynamics in Abelian gauge theories at finite temperature
- Higher-form symmetries, anomalous magnetohydrodynamics, and holography
- Towards an effective action for chiral magnetohydrodynamics
- A systematic formulation of chiral anomalous magnetohydrodynamics