Revisiting relativistic magnetohydrodynamics from quantum electrodynamics

A bstract We provide a statistical mechanical derivation of relativistic magnetohydrodynamics on the basis (3 + 1)-dimensional quantum electrodynamics; system endowed with magnetic one-form symmetry. The conservation laws and constitutive relations are presented in manifestly covariant way respect to general coordinate transformation. method local Gibbs ensemble (or nonequilibrium operator) combined path-integral formula for thermodynamic functional enables us obtain exact forms relations. Applying derivative expansion formulas, we derive first-order nonlinear magnetohydrodynamics. Our results QED plasma preserving parity charge-conjugation symmetries equipped two electrical resistivities five (three bulk shear) viscosities. also show that those transport coefficients satisfy Onsager’s reciprocal relation set inequalities, indicating semi-positivity entropy production rate consistent second law thermodynamics.