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arXiv 0709.2502hep-phastro-phhep-th
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非双折射修正Maxwell理论中的超高能cosmic-ray边界

Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory

F. R. Klinkhamer, M. Risse

摘要:

麦克斯韦光子理论的一个特别简单的洛伦兹破坏修正保持了规范不变性、CPT和重整化。这个修正的麦克斯韦理论与标准狄拉克粒子相结合,包含了19个无量纲的“变形参数”。“这些参数中有10个导致双折射,并且已经受到天体物理学的严格限制。在没有真空切伦科夫辐射的情况下,可以得到新的界限,其余九个非双折射参数的超高能宇宙射线(UHECR)。使用皮埃尔俄歇天文台记录的选定UHECR事件并分配伪随机方向(即,假设大尺度各向同性),在10^{-18}水平上发现切伦科夫边界,这大大改善了目前的实验室边界。未来的UHECR观测可能会将这些切伦科夫边界降低到10^{-23}水平。已单独发表了具有双侧边界的附录[Phys. Rev. D 77,117901(2008),arXiv:0806.4351]。

英文摘要:

A particularly simple Lorentz-violating modification of the Maxwell theory of photons maintains gauge invariance, CPT, and renormalization. This modified-Maxwell theory, coupled to standard Dirac particles, involves nineteen dimensionless "deformation parameters." Ten of these parameters lead to birefringence and are already tightly constrained by astrophysics. New bounds on the remaining nine nonbirefringent parameters can be obtained from the absence of vacuum Cherenkov radiation for ultrahigh-energy cosmic rays (UHECRs). Using selected UHECR events recorded at the Pierre Auger Observatory and assigning pseudo-random directions (i.e., assuming large-scale isotropy), Cherenkov bounds are found at the 10^{-18} level, which improve considerably upon current laboratory bounds. Future UHECR observations may reduce these Cherenkov bounds to the 10^{-23} level. An Addendum with two-sided bounds has been published separately [Phys. Rev. D 77, 117901 (2008), arXiv:0806.4351].

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