有关Unparticles的评论
Comments on Unparticles
摘要:
我们评论的几个点有关unparticles已被忽视的文献。一个是关于CFT算子维数的麦克幺正性约束下界,例如,主、规范不变、矢量非粒子算子的d \geq 3。我们纠正了文献中的结果,以说明这一点,也为所需的校正的形式的传播矢量和张量非粒子。我们表明,么正性约束可以直接关系到粒子的散射振幅,例如那些标准模型,耦合到CFT运营商的么正性要求。我们还强调存在明确的标准模型接触条款,这是一般诱导的耦合到CFT(或任何其他隐藏的部门),并受到LEP的界限。除非有一种未知的机制来调谐这些接触相互作用,否则它们可以淹没CFT产生的干扰效应。我们说明这些点的背景下,弱耦合CFT的例子。大量的非粒子文献应该根据本说明中的观察重新考虑。
英文摘要:
We comment on several points concerning unparticles which have been overlooked in the literature. One regards Mack's unitarity constraint lower bounds on CFT operator dimensions,e.g. d\geq 3 for primary, gauge invariant, vector unparticle operators. We correct the results in the literature to account for this, and also for a needed correction in the form of the propagator for vector and tensor unparticles. We show that the unitarity constraints can be directly related to unitarity requirements on scattering amplitudes of particles, e.g. those of the standard model, coupled to the CFT operators. We also stress the existence of explicit standard model contact terms, which are generically induced by the coupling to the CFT (or any other hidden sector), and are subject to LEP bounds. Barring an unknown mechanism to tune away these contact interactions, they can swamp interference effects generated by the CFT. We illustrate these points in the context of a weakly coupled CFT example. A significant amount of the unparticle literature should be reconsidered in light of the observations in this note.
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