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Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism (2203.02206v3)
Published 4 Mar 2022 in hep-th, gr-qc, math-ph, and math.MP
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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