Conserved currents from nonlocal constants in relativistic scalar field theories

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Mattia Scomparin
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引用次数: 1

Abstract

Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They have been introduced to study ODEs and, among all applications, they provide first integrals in special cases. 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.

相对论标量场论中非局部常数的守恒流
非局部常数是沿运动方向恒定的函数,但其值取决于运动本身的过去历史。它们被用来研究ode,在所有的应用中,它们提供了特殊情况下的第一积分。在此基础上,提出了一种在拉格朗日标量场理论框架下求非定域常数的新方法。我们从它们推导出局部守恒电流,并通过恢复一些标准的诺etherian结果来证明我们的结果的一致性。应用包括实/复非线性相互作用理论和实耗散Klein-Gordon理论。
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来源期刊
Reports on Mathematical Physics
Reports on Mathematical Physics 物理-物理:数学物理
CiteScore
1.80
自引率
0.00%
发文量
40
审稿时长
6 months
期刊介绍: Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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