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arXiv 1009.3264hep-thgr-qc
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非对易场论中的守恒电荷和量子群变换

Conserved charges and quantum-group transformations in noncommutative field theories

Giovanni Amelino-Camelia, Giulia Gubitosi, Flavio Mercati, Giacomo Rosati

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摘要：

最近发展起来的一些非对易场论的量子群时空对称性的Noether分析技术依赖于{ \it ad hoc}引入一些特殊的辅助变换参数，这些参数在量子群的结构中似乎没有作用。我们在这里表明，它是可能的建立直接在量子群对称变换的诺特分析，因此，我们建立了更强大的属性的守恒电荷的对称性的兴趣。我们还描述了“时间独立性”的概念（如保守电荷所需）的方式，是足够强大的，甚至适用于理论与空间/时间noncommutativity，它可能已经出现，任何表征的时间独立性应该是容易受到改变的顺序约定。

英文摘要：

The recently-developed techniques of Noether analysis of the quantum-group spacetime symmetries of some noncommutative field theories rely on the {\it ad hoc} introduction of some peculiar auxiliary transformation parameters, which appear to have no role in the structure of the quantum group. We here show that it is possible to set up the Noether analysis directly in terms of the quantum-group symmetry transformations, and we therefore establish more robustly the attribution of the conserved charges to the symmetries of interest. We also characterize the concept of "time independence" (as needed for conserved charges) in a way that is robust enough to be applicable even to theories with space/time noncommutativity, where it might have appeared that any characterization of time independence should be vulnerable to changes of ordering convention.

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