Conserved currents from nonlocal constants in relativistic scalar field theories

Autor: Scomparin, Mattia
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 21 pages, 0 figures. Comments are welcome
Databáze: arXiv