Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory
arXiv:2309.14438 · doi:10.21468/SciPostPhys.17.3.085
Abstract
We study classical lattice simulations of theories of electrodynamics coupled to charged matter at finite temperature, interpreting them using the higher-form symmetry formulation of magnetohydrodynamics (MHD). We compute transport coefficients using classical Kubo formulas on the lattice and show that the properties of the simulated plasma are in complete agreement with the predictions from effective field theories. In particular, the higher-form formulation allows us to understand from hydrodynamic considerations the relaxation rate of axial charge in the chiral plasma observed in previous simulations. A key point is that the resistivity of the plasma -- defined in terms of Kubo formulas for the electric field in the 1-form formulation of MHD -- remains a well-defined and predictive quantity at strong electromagnetic coupling. However, the Kubo formulas used to define the conventional conductivity vanish at low frequencies due to electrodynamic fluctuations, and thus the concept of the conductivity of a gauged electric current must be interpreted with care.
24 pages + appendix, 9 figures. Clarifications added. Comments are welcomed. Version published in SciPost
References in corpus (18)
- Generalized Global Symmetries
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Generalized Symmetries in Condensed Matter
- Baryogenesis from Decaying Magnetic Helicity
- The art of simulating the early Universe -- Part I
- Lecture Notes on Generalized Symmetries and Applications
- Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions
- On anomalies and gauging of U(1) non-invertible symmetries in 4d QED
- An Introduction to Higher-Form Symmetries
- What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
- Introduction to Generalized Global Symmetries in QFT and Particle Physics
- Dissipative String Fluids
- Higher-form symmetries, anomalous magnetohydrodynamics, and holography
- Towards an effective action for chiral magnetohydrodynamics
- Baryogenesis from Decaying Magnetic Helicity in Axiogenesis
- A systematic formulation of chiral anomalous magnetohydrodynamics
- Hydrodynamic fluctuations and topological susceptibility in chiral magnetohydrodynamics
- Strong-field magnetohydrodynamics for neutron stars