空间非对易性标度的探讨
Probing the scale of non-commutativity of space
摘要：
研究非对易空间中的量子电动力学以及这些空间中的复合算子，我们证明：i）如果基本的NC光子-光子耦合是g，则允许费米子物质场的任何电荷g，但是不允许g的其他倍数; ii）复合算子没有简单的变换，可以归因于复合粒子的有效总电荷。这些结果加在一起，限制了非对易性的尺度，最多小于目前LHC对复合性的限制。此外，他们还建议，如果这样的空间是一个物理现实，需要在更小的尺度下的子结构。
英文摘要：
Examining quantum electrodynamics in non-commutative (NC) spaces along with composite operators in these spaces, we show that i) any charge g for a fermion matter field is allowed provided the basic NC photon-photon coupling is g, however no other multiples of g are permitted and ii) composite operators do not have a simple transformation which can be attributed to the effective total charge of the composite particle. Taken together these results place a limit on the scale of non-commutativity to be at most smaller that current LHC limits for compositeness. Furthermore, they also suggest that a substructure at still smaller scales is needed if such spaces are to be a physical reality.
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。
