相对论标量场理论中非定域常数的守恒流
Conserved currents from nonlocal constants in relativistic scalar field theories
摘要：
非局部常数是指沿运动方向保持不变的函数，但其值取决于运动本身的过去历史。它们是经典力学中提供第一积分的有力工具，在这方面，介绍了一种在拉格朗日标量场理论框架内获得非局部常数的新方法。我们从他们得到局部守恒电流，我们证明了我们的结果的一致性，通过恢复一些标准的诺特结果。应用包括实/复非线性相互作用理论和实耗散Klein-Gordon理论。
英文摘要：
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.
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