论文标题
具有较高的衍生物和理论的理论中的Noether电流，作用中具有不同的场转换（DFTA）
Noether currents in theories with higher derivatives and theories with differential field transformation in action (DFTA)
论文作者
论文摘要
该文章致力于研究具有较高场衍生物的特殊理论子类中的Noether电流和运动积分 - 在差异场中的理论（DFTA）。在相当普遍的断言下，我们将积分的简单表示为运动的“旧”积分，术语，在运动和表面积分的“旧”方程上消失。我们表明，对于具有高阶衍生物的某种宇宙学理论，最后的贡献可以违反规格不变性，特别是差异性。然后，我们研究了较高衍生理论的Noether程序的歧义，并以问题在相当一般的环境中解决的方式进行修复。讨论了有关一般相对性的几种扩展，这些结果尤其是DFTA获得的，特别是对于重力的模拟，异形和deitelboim理论。
The article is devoted to the investigation of the Noether currents and integrals of motion in the special subclass of theories with higher field derivatives -- theories under differential field transformations in action (DFTA). Under fairly general assertions, we derive a simple representation for the integrals as sums of "old" integrals of motion, terms, that vanishes on the "old" equations of motion and surface integrals. We show that for some cosmological theories of that kind with high order derivatives the last contribution can violate gauge invariance, specifically, diffeomorphisms. Then we investigate ambiguity of the Noether procedure for higher derivative theories and fix it in the way the problem resolves in quite general setting. The obtained results are discussed for the several extensions of the General Relativity, which are obtained by DFTA, in particular, for mimetic, disformal and Regge-Teitelboim theories of gravity.
