Conserved currents from nonlocal constants in relativistic scalar field theories
@inproceedings{Scomparin2022ConservedCF, title={Conserved currents from nonlocal constants in relativistic scalar field theories}, author={Mattia Scomparin}, year={2022} }
. 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…
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