论文标题
一个改进的时空对称性定理
An improved Noether's theorem for spacetime symmetries
论文作者
论文摘要
我们利用了在Noether定理中隐藏的歧义，以系统地得出相对论场理论，应力 - 能量张量的改进术语与其他时空对称性相关。我们明确地确定了Lorentz不变性，规模不变性和完整的形式不变性的情况。主要思想是直接在neetherem的翻译定理中使用，可以将这些额外的对称性视为适当调制的翻译这一事实。 Compared to more standard derivations of the improvement terms, ours (1) unifies all different cases in a single framework, (2) involves no guesswork, (3) yields the desired algebraic properties (symmetry and/or tracelessness) of the stress-energy tensor off-shell, and (4) unifies the translation Noether theorem with those of the additional spacetime symmetries, yielding at the same time both the improved应力 - 能量张量和其他Noether电流。
We exploit an ambiguity somewhat hidden in Noether's theorem to derive systematically, for relativistic field theories, the stress-energy tensor's improvement terms that are associated with additional spacetime symmetries beyond translations. We work out explicitly the cases of Lorentz invariance, scale invariance, and full conformal invariance. The main idea is to use, directly in the translation Noether theorem, the fact that these additional symmetries can be thought of as suitably modulated translations. Compared to more standard derivations of the improvement terms, ours (1) unifies all different cases in a single framework, (2) involves no guesswork, (3) yields the desired algebraic properties (symmetry and/or tracelessness) of the stress-energy tensor off-shell, and (4) unifies the translation Noether theorem with those of the additional spacetime symmetries, yielding at the same time both the improved stress-energy tensor and the additional Noether currents.
