论文标题
通过高阶现场理论在异质歧管上发现精确的，规格不变的局部能量弹药保护定律
Discovering exact, gauge-invariant, local energy-momentum conservation laws for the electromagnetic gyrokinetic system by high-order field theory on heterogeneous manifolds
论文作者
论文摘要
陀螺仪理论可以说是在磁化等离子体中进行运输物理学数值研究的最重要工具。然而，尽管持续努力，但仍未发现电磁陀螺仪系统的确切局部能量摩托明管保护法。如果没有这样的局部保护法，可以在时空上立即运输能量摩托车，这是毫无机构的，对基于陀螺仪理论的数值模拟的有效性产生了怀疑。标准Noether从相应的对称性中得出保护定律的程序不适用于陀螺仪系统，因为陀螺仪和电磁场位于不同的歧管上。为了克服这一困难，我们开发了一种有关经典粒子场系统异质歧管的高阶现场理论，并将其应用于获得精确的局部保护法律，尤其是能量摩托明管保护法，用于电磁扭曲动物系统。建立了一个弱的Euler-Lagrange方程，以替换粒子的标准Euler-Lagrange方程。据发现，诱发的欧拉 - 拉格兰奇电流进入了当地的保护法。这是由高阶场理论捕获的关于异质流形的新物理学。
Gyrokinetic theory is arguably the most important tool for numerical studies of transport physics in magnetized plasmas. However, exact local energy-momentum conservation law for the electromagnetic gyrokinetic system has not been found despite continuous effort. Without such a local conservation law, energy-momentum can be instantaneously transported across spacetime, which is unphysical and casts doubt on the validity of numerical simulations based on the gyrokinetic theory. Standard Noether's procedure for deriving conservation laws from corresponding symmetries does not apply to gyrokinetic systems because the gyrocenters and electromagnetic field reside on different manifolds. To overcome this difficulty, we developed a high-order field theory on heterogeneous manifolds for classical particle-field systems and apply it to derive exact local conservation laws, in particular the energy-momentum conservation law, for the electromagnetic gyrokinetic system. A weak Euler-Lagrange equation is established to replace the standard Euler-Lagrange equation for the particles. It is discovered that an induced weak Euler-Lagrange current enters the local conservation laws. And it is the new physics captured by the high-order field theory on heterogeneous manifolds.
