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arXiv 0710.4378hep-th
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关于大T Hooft耦合下的Pomeron

On The Pomeron at Large 't Hooft Coupling

Richard C. Brower, Matthew J. Strassler, Chung-I Tan

摘要:

我们开始了在大的特胡夫特耦合下使坡密子统一的过程。我们这样做首先在共形制度,这适用于良好的准确性,以一些真正的和玩具问题的QCD。在$J$ -平面和横截位置空间中重写共形Pomeron,从而得到多重Pomeron交换的程函近似。这是在一个更一般的治疗复杂的$J$平面和几何后果的共形不变性的背景下。所需的方法是我们以前的工作的直接推广单Pomeron交换和多引力子交换在AdS空间,并应形成一个起点,为其他调查。我们认为在保形制度的酉性和饱和度,注意弹性和吸收效应,并探讨不同的过程占主导地位。我们的方法扩展到限制理论,我们简要地考虑在这种情况下的Pomeron内核。虽然有重要的模型依赖性,需要详细考虑,程函近似表明,弗鲁瓦萨尔界一般都满足和饱和。

英文摘要:

We begin the process of unitarizing the Pomeron at large 't Hooft coupling. We do so first in the conformal regime, which applies to good accuracy to a number of real and toy problems in QCD. We rewrite the conformal Pomeron in the $J$-plane and transverse position space, and then work out the eikonal approximation to multiple Pomeron exchange. This is done in the context of a more general treatment of the complex $J$-plane and the geometric consequences of conformal invariance. The methods required are direct generalizations of our previous work on single Pomeron exchange and on multiple graviton exchange in AdS space, and should form a starting point for other investigations. We consider unitarity and saturation in the conformal regime, noting elastic and absorptive effects, and exploring where different processes dominate. Our methods extend to confining theories and we briefly consider the Pomeron kernel in this context. Though there is important model dependence that requires detailed consideration, the eikonal approximation indicates that the Froissart bound is generically both satisfied and saturated.

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