Infinite derivatives vs integral operators. The Moeller-Zwiebach puzzle

Carlos Heredia Pimienta, Josep Llosa
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Abstract

We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator $p^{\frac{1}{2}\,\partial_t^2}\,$ that appears in the theory of $p$-adic string fields, as well as the Moyal product that arises in non-commutative theories. We also try to clarify the apparent paradox raised by Moeller and Zwiebach, which highlights the discrepancy between them.
有限导数与积分算子。穆勒-兹维巴赫之谜
我们研究积分算子和无限衍生算子之间的关系。特别是,我们研究了出现在$p$-adic弦场理论中的算子$p^{\frac{1}{2}\,\partial_t^2}\$,以及出现在非交换理论中的莫亚积。我们还试图澄清默勒和兹维巴赫提出的明显悖论,这凸显了他们之间的差异。
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