Jackiw非Noetherian共形标量场的唯一性
Uniqueness of the Jackiw non-Noetherian conformal scalar field
AI总结：
该研究利用变分法反问题的解这一古老定理，证明了二维中Jackiw提出的弯曲时空推广的Liouville作用量是二阶精度下唯一的非Noetherian共形标量场例子。
摘要：
Jackiw无疑是首个展示标量场作用量不具有共形不变性但其运动方程具有共形不变性的例子的学者。这一特性近期被称为非Noetherian共形标量场。Jackiw的典型例子是二维Liouville作用量向弯曲时空的推广。本文证明，在二阶精度内，这是二维非Noetherian共形标量场的唯一例子。我们利用一个古老且有些被遗忘的定理得到了该结果，该定理正是变分法反问题的解。
英文摘要：
Jackiw was undoubtedly the first to exhibit an example of a scalar field action which is not conformally invariant whereas its equation of motion is. This feature has recently been dubbed as a non-Noetherian conformal scalar field. The paradigmatic example of Jackiw was the generalization to curved spacetime of the two-dimensional Liouville action. Here, we prove that, up to second order, this is the unique example of a non-Noetherian conformal scalar field in two dimensions. We establish this result using an old and somewhat forgotten theorem which is none other than the solution to the inverse problem of the calculus of variations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
