Wilson loops as precursors
Wilson loops as precursors
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威尔逊环作为先驱
DOI：
10.1103/physrevd.61.044001
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发表时间：
1999
影响因子：
5
通讯作者：
N. Toumbas
中科院分区：
文献类型：
--
作者：
L. Susskind;N. Toumbas
有大量证据表明，AdS{sub 5}xS{sub 5}上的弦理论是一种全息理论，其中自由度的数量以普朗克单位的边界面积为尺度。这个理论是如何精确地用表面自由度来描述体物理的，目前还没有得到很好的理解。一个特别矛盾的情况涉及到大空间内部深处的事件。在信号（如引力波）从事件传播到边界之前，事件必须被记录在边界理论的（薛定谔图）状态向量中。在之前与Polchinski合著的一篇论文中，我们论证了当波在边界附近消失时，携带存储在波中的信息的“前导”算子必然是非局部的。在本文中，我们论证了前驱不可能是局部规范不变算子如能量动量张量的乘积。事实上，规范理论有一类本质上非局部的算子，它们不能由局部规范不变对象构建。这些是威尔逊循环。我们表明，前体可以识别与威尔逊环，其空间大小是由紫外-红外连接决定的。(c)more»2000美国物理学会。«少
There is substantial evidence that string theory on AdS{sub 5}xS{sub 5} is a holographic theory in which the number of degrees of freedom scales as the area of the boundary in Planck units. Precisely how the theory can describe bulk physics using only surface degrees of freedom is not well understood. A particularly paradoxical situation involves an event deep in the interior of the bulk space. The event must be recorded in the (Schroedinger picture) state vector of the boundary theory long before a signal, such as a gravitational wave, can propagate from the event to the boundary. In a previous paper with Polchinski, we argued that the ''precursor'' operators which carry information stored in the wave during the time when it vanishes in a neighborhood of the boundary are necessarily non-local. In this paper we argue that the precursors cannot be products of local gauge invariant operators such as the energy momentum tensor. In fact gauge theories have a class of intrinsically non-local operators which cannot be built from local gauge invariant objects. These are the Wilson loops. We show that the precursors can be identified with Wilson loops whose spatial size is dictated by the UV-IR connection. (c)more » 2000 The American Physical Society.« less