arXiv 0807.12102008-07astro-phgr-qc

洛伦兹破坏与超高能光子

Lorentz Violation and Ultrahigh-Energy Photons

Matteo Galaverni, Guenter Sigl

备注：: 9 revtex pages, 11 figures; published version; added comment on models beyond effective field theory
发表信息：: Phys.Rev.D78:063003,2008
DOI：: 10.1103/PhysRevD.78.063003

摘要：

如果光子、电子和正电子在10^{19} eV以上的超高能量下的传播被普朗克尺度的幂所抑制的项所修正，则这些粒子的色散关系可以被显著改变。我们最近指出，目前在这种能量的超高能宇宙线通量中没有观测到光子，这可能会对这种修改后的色散关系产生很大的约束。在目前的工作中，我们将这些约束推广到所有三个洛伦兹不变性破坏参数，可以发生在色散关系的光子，电子和正电子在一阶和二阶抑制与普朗克尺度。我们还展示了如何排除在这些三维参数范围内的区域将被扩展，如果超高能光子在未来被检测到。

英文摘要：

The propagation of photons, electrons and positrons at ultra-high energies above 10^{19} eV can be changed considerably if the dispersion relations of these particles are modified by terms suppressed by powers of the Planck scale. We recently pointed out that the current non-observation of photons in the ultra-high energy cosmic ray flux at such energies can put strong constraints on such modified dispersion relations. In the present work we generalize these constraints to all three Lorentz invariance breaking parameters that can occur in the dispersion relations for photons, electrons and positrons at first and second order suppression with the Planck scale. We also show how the excluded regions in these three-dimensional parameter ranges would be extended if ultra-high energy photons were detected in the future.

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