论文标题
广告中的有效现场理论:连续体制,软炸弹和IR出现
Effective Field Theory in AdS: Continuum Regime, Soft Bombs, and IR Emergence
论文作者
论文摘要
我们考虑在任意能量的Lorentzian五维广告中的标量场。我们表明,散装相互作用的存在将理论的行为分为两个不同的方案:Kaluza-Klein和Continuum。我们确定了这些制度之间的过渡量表,并表明紫外线相关函数与此过渡量表以外的四摩Momenta的ir brane-localization oberator无关。引起过渡的相同散装相互作用也引起了级联衰变。我们研究了连续体制中的立方自我交往的情况。我们发现,根据重力和CFT的以前的结果,级联衰变朝着IR区域缓慢发展,并产生软球形最终状态。我们确定了不同腿部数量的综合平方幅度之间的递归关系,从而评估了总率。我们发现,连续体制中的级联衰变被指数抑制。此功能从紫外线Brane可以看出,该功能将IR Brane的图片作为新兴领域。我们简要讨论了胶球的全息二重描述以及对黑暗扇区模型的某些影响。
We consider a scalar field in a slice of Lorentzian five-dimensional AdS at arbitrary energies. We show that the presence of bulk interactions separate the behavior of the theory into two different regimes: Kaluza--Klein and continuum. We determine the transition scale between these regimes and show that UV brane correlation functions are independent of IR brane-localized operators for four-momenta beyond this transition scale. The same bulk interactions that induce the transition also give rise to cascade decays. We study these cascade decays for the case of a cubic self-interaction in the continuum regime. We find that the cascade decay progresses slowly towards the IR region and gives rise to soft spherical final states, in accordance with former results from both gravity and CFT. We identify a recursion relation between integrated squared amplitudes of different leg numbers and thus evaluate the total rate. We find that cascade decays in the continuum regime are exponentially suppressed. This feature completes the picture of the IR brane as an emergent sector as seen from the UV brane. We briefly discuss consistency with the holographic dual description of glueballs and some implications for dark sector models.