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arXiv · 2203.02206

Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism

Carlos Heredia·Josep Llosa
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Abstract

This article aims to study non-local Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagrangians. We then set up a Hamiltonian formalism for them. In addition, we show that $n$-order local Lagrangians can be treated as a particular case and the standard results can be recovered. Finally, this formalism is applied to the case of $p$-adic open string field.

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Carlos Heredia, Josep Llosa. 2022-03-04. Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism. https://doi.org/10.1103/physrevd.105.126002

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