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arXiv 1010.4396hep-thhep-ph
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加速夸克与约束规范理论的全息

Accelerated Quark and Holography for Confining Gauge theory

Kazuo Ghoroku, Masafumi Ishihara, Kouki Kubo, Tomoki Taminato

摘要:

我们将一个不断加速的夸克作为Nambu-Goto作用的弦解,它嵌入在$\cal{N}$ $=2$超对称限制杨-米尔斯理论的体背景对偶中。这个弦解的世界片的诱导度规有一个由第五个坐标指定的事件视界。通过推广的Rindler变换,我们得到了加速夸克弦的共动坐标系。然后我们发现这个视界被转移到了体的事件视界中,加速夸克的因果部分在Rindler坐标中被转化为静态的自由夸克。结果,闵可夫斯基真空的限制在林德勒真空中消失了。这一点也可以通过研究夸克和反夸克之间的势得到保证。然而,原始约束力的残余被认为是在各种热量。我们还讨论了我们的结果的一致性,并声称格林函数不会被Rindler变换改变。

英文摘要:

We show a constantly accelerated quark as a string solution of the Nambu-Goto action, which is embedded in the bulk background dual to the $\cal{N}$ $=2$ supersymmetric confining Yang-Mills theory. The induced metric of the world sheet for this string solution has an event horizon specified by the fifth coordinate. By an extended Rindler transformation proposed by Xiao, we move to the comoving frame of the accelerated quark-string. Then we find that this horizon is transferred to the event horizon of the bulk and the causal part of the accelerated quark is transformed to a static free-quark in the Rindler coordinate. As a result, the confinement of the Minkowski vacuum is lost in the Rindler vacuum. This point is assured also by studying the potential between the quark and anti-quark. However, the remnants of the original confining force are seen in various thermal quantities. We also discuss the consistency of our results and the claim that the Green's functions will not be changed by the Rindler transformation.

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