论文标题

非本地Lagrangian领域:Noether的定理和哈密顿形式主义

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

论文作者

Heredia, Carlos, Llosa, Josep

论文摘要

本文旨在研究具有无数自由度的非本地拉格朗日人。我们获得了Noether定理和Noether对此类Lagrangians的身份的扩展。然后,我们为他们建立了哈密顿的形式主义。此外,我们表明可以将$ n $ order的本地拉格朗日人视为特定情况,并且可以恢复标准结果。最后,这种形式主义适用于$ p $ - 亚种开放式弦字段的情况。

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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