论文标题
来自相对论标量场理论中非局部常数的保守电流
Conserved currents from nonlocal constants in relativistic scalar field theories
论文作者
论文摘要
非局部常数是沿运动持续不断的函数，但其价值取决于运动本身的过去历史。它们是提供经典力学中第一积分的强大工具，在这方面，引入了一种新的方法，以在拉格朗日标量场理论的框架内获得非本地常数。我们从它们中得出当地保存的电流，并通过恢复一些标准的Noetherian结果来证明结果的一致性。应用包括真实/复杂的非线性相互作用理论和真实的耗散klein-gordon理论。
Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They are a powerful tool to provide first integrals in classical mechanics and, in this respect, a new approach to get nonlocal constants within the framework of lagrangian scalar field theory is introduced. We derive locally-conserved currents from them, and we prove the consistency of our results by recovering some standard Noetherian results. Applications include the real/complex nonlinear interacting theory and the real dissipative Klein-Gordon theory.
