Dynamics of flux tubes in large N gauge theories

Dynamics of flux tubes in large N gauge theories
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大 N 规范理论中通量管的动力学

DOI:
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发表时间:
2006
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通讯作者:
Charles B. Thorn
Charles B. Thorn
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作者:
I. Klebanov;J. Maldacena;Charles B. Thorn

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静态夸克-反夸克对所产生的胶子场通过ADS/CFT对应由位于ADS边界上的一根连接该对的弦描述。因此,强耦合大N CFT中的胶子场具有一串激发谱。我们将这些激发的稳定性归因于大N抑制和能量守恒的结合。对=4SYM理论中N=∞通量管在弱耦合和强耦合下的物理性质的比较表明,激发只存在于某一临界耦合以上。在强耦合条件下,折叠到ADS视界的高激发弦的态密度与弱-强耦合跃迁的梯形图模型中的近阈值态的态密度完全一致。我们还研究了具有威尔逊环的局域算符的大距离关联,结果表明,在弱耦合和N=∞(即严格平面图)处的衰减值与ADS/CFT对应给出的强耦合预言相匹配,而不是弱耦合U(1)规范理论的结果。
The gluonic field created by a static quark anti-quark pair is described via the AdS/CFT correspondence by a string connecting the pair which is located on the boundary of AdS. Thus the gluonic field in a strongly coupled large N CFT has a stringy spectrum of excitations. We trace the stability of these excitations to a combination of large N suppressions and energy conservation. Comparison of the physics of the N = ∞ flux tube in the = 4 SYM theory at weak and strong coupling shows that the excitations are present only above a certain critical coupling. The density of states of a highly excited string with a fold reaching towards the horizon of AdS is in exact agreement at strong coupling with that of the near-threshold states found in a ladder diagram model of the weak-strong coupling transition. We also study large distance correlations of local operators with a Wilson loop, and show that the fall off at weak coupling and N = ∞ (i.e. strictly planar diagrams) matches the strong coupling predictions given by the AdS/CFT correspondence, rather than those of a weakly coupled U(1) gauge theory.