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arXiv 0911.5360hep-thgr-qchep-ph
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Horava-Lifshitz型理论中的阈值反常

Threshold anomalies in Horava-Lifshitz-type theories

Giovanni Amelino-Camelia, Leonardo Gualtieri, Flavio Mercati

摘要:

近年来,对粒子产生过程的阈值运动学要求的研究在偏离庞加莱对称性的唯象理论中起着非常重要的作用。我们在这里专门这些阈值研究的情况下,一类违反庞加莱的对称性,这已被大量讨论的文献中Horava-Lifshitz的情况。这些修正涉及到能量-动量关系(“色散”)的修正,对于不同类型的粒子可能会有所不同,但在修正项中总是涉及到能量-动量的偶数次方。我们建立了与观测到的宇宙射线光谱兼容的要求,这是敏感的质子生产阈值。我们发现,电子-正电子对生产阈值的影响是相当有趣的,在最近的一些研究TeV的排放耀变体。我们的发现也应该为研究霍拉瓦-利夫希茨型理论中能量-动量守恒定律的命运提供动力。

英文摘要:

Recently the study of threshold kinematic requirements for particle-production processes has played a very significant role in the phenomenology of theories with departures from Poincare' symmetry. We here specialize these threshold studies to the case of a class of violations of Poincare' symmetry which has been much discussed in the literature on Horava-Lifshitz scenarios. These involve modifications of the energy-momentum ("dispersion") relation that may be different for different types of particles, but always involve even powers of energy-momentum in the correction terms. We establish the requirements for compatibility with the observed cosmic-ray spectrum, which is sensitive to the photopion-production threshold. We find that the implications for the electron-positron pair-production threshold are rather intriguing, in light of some recent studies of TeV emissions by Blazars. Our findings should also provide motivation for examining the fate of the law of energy-momentum conservation in Horava-Lifshitz-type theories.

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