Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory

Das, Arpit; Florio, Adrien; Iqbal, Nabil; Poovuttikul, Napat

doi:10.21468/SciPostPhys.17.3.085

Title: Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory

Journal Article · 19 September 2024 · SciPost Physics

DOI: https://doi.org/10.21468/SciPostPhys.17.3.085 · OSTI ID:2447167

; Florio, Adrien;

; Poovuttikul, Napat

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.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0012704

OSTI ID:: 2447167

Journal Information:: SciPost Physics, Journal Name: SciPost Physics Journal Issue: 3 Vol. 17; ISSN 2542-4653

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

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