在Cohen-Schillow非常狭义相对论中建立模型的一个场所
An Arena for Model Building in the Cohen-Glashow Very Special Relativity
摘要:
科恩-希豪非常狭义相对论(VSR)代数[arXiv:hep-ph/0601236]被定义为洛伦兹代数的一部分,它在加上CP或T不变性后增强为完整的洛伦兹群,加上时空平移。我们表明,非对易时空,特别是非对易Moyal平面,与轻的非对易性提供了一个强大的数学设置的量子场论是VSR不变的,因此为建立VSR不变的粒子物理模型的阶段。在我们的设置中,VSR不变理论被指定为一个单一的变形参数,非交换尺度Λ_{NC}。根据已有的实验数据,初步分析得出Λ_{NC} \gtrsim为1-10 TeV.本说明是为2008年埃里温G27数学物理会议论文集编写的,基于arXiv:0806.3699[hep-th]。
英文摘要:
The Cohen-Glashow Very Special Relativity (VSR) algebra [arXiv:hep-ph/0601236] is defined as the part of the Lorentz algebra which upon addition of CP or T invariance enhances to the full Lorentz group, plus the space-time translations. We show that noncommutative space-time, in particular noncommutative Moyal plane, with light-like noncommutativity provides a robust mathematical setting for quantum field theories which are VSR invariant and hence set the stage for building VSR invariant particle physics models. In our setting the VSR invariant theories are specified with a single deformation parameter, the noncommutativity scale Λ_{NC}. Preliminary analysis with the available data leads to Λ_{NC}\gtrsim 1-10 TeV. This note is prepared for the Proceedings of the G27 Mathematical Physics Conference, Yerevan 2008, and is based on arXiv:0806.3699[hep-th].
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