来自Myers-Pospelov洛伦兹破坏电动力学的相对论磁流体动力学
Relativistic Magnetohydrodynamics from Myers-Pospelov Lorentz-Violating Electrodynamics
- Sao Carlos Institute of Physics, University of Sao Paulo（圣保罗大学圣卡洛斯物理研究所）
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AI总结：
本文从Myers-Pospelov洛伦兹破坏电动力学出发，利用Wigner形式体系和Noether定理推导出含洛伦兹破坏修正的相对论磁流体动力学方程，揭示了类空背景下的各向异性效应。
AI中文摘要：
我们从洛伦兹破坏的Myers-Pospelov电动力学推导出相对论磁流体动力学的方程。从修正的费米子和电磁运动方程出发，我们采用协变Wigner形式体系建立半经典谱约束和分布函数，将其与Noether定理结合，在存在洛伦兹破坏的情况下得到能量-动量张量、粒子流以及相应的守恒定律。由此产生的流体动力学描述包含对热力学量和流体流的洛伦兹破坏修正。在纯类时扇区中，这些修正可以吸收到有效热力学量中，保持流体方程的各向同性结构。相反，类空背景沿优先方向引入显式贡献，这些贡献无法吸收到标准流体动力学变量中，并产生各向异性的力和力矩。这些效应导致偏离标准相对论磁流体动力学，并提供洛伦兹破坏背景的直接宏观表现。我们的结果提供了洛伦兹破坏相对论磁流体动力学的第一性原理推导，并建立了一个研究磁化相对论流体中洛伦兹破坏宏观后果的框架。
英文摘要：
We derive the equations of relativistic magnetohydrodynamics from Lorentz-violating Myers-Pospelov electrodynamics. Starting from the modified fermionic and electromagnetic equations of motion, we employ the covariant Wigner formalism to establish the semiclassical spectral constraints and distribution function, which, combined with Noether's theorem, yield the energy-momentum tensor, particle current, and corresponding conservation laws in the presence of Lorentz violation. The resulting hydrodynamic description contains Lorentz-violating corrections to the thermodynamic quantities and to the fluid currents. In the purely timelike sector, these corrections can be absorbed into effective thermodynamic quantities, preserving the isotropic structure of the fluid equations. In contrast, spacelike backgrounds introduce explicit contributions along the preferred direction, which cannot be absorbed into the standard hydrodynamic variables and give rise to anisotropic forces and torques. These effects lead to departures from standard relativistic magnetohydrodynamics and provide a direct macroscopic manifestation of the Lorentz-violating background. Our results provide a first-principles derivation of Lorentz-violating relativistic magnetohydrodynamics and establish a framework for investigating the macroscopic consequences of Lorentz violation in magnetized relativistic fluids.
