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arXiv 0905.3284hep-thhep-ph
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全息人工色模型及其S参数

Holographic technicolor models and their S-parameter

Oded Mintakevich, Jacob Sonnenschein

摘要:

研究了全息人工色模型的Peskin-Takeuchi S参数。我们提出的配方计算的参数在一个广义的全息设置。然后,我们将其应用于几个全息模型,包括:(a)Sakai-Sugimoto模型和(b)它的非紧化表亲,(c)(a)的一个非临界类似物,它基于AdS_6的近极值背景,(d)KMMW模型,它类似于模型(a),但用D 6和反D 6味膜代替D8和反D8膜,(e)一个基于D5膜的模型,该膜在两个S^1上被D 7和anti-7探测膜紧化;(f)一个锥状模型,该模型具有与(e)中相同的探测膜。这些模型是具有U(N_{TC})规范理论的规范理论的引力模型和具有味对称性U(N_{TF})xU(N_{TF})到U_V(N_{TF})的破裂的规范理论的引力模型。模型(a)、(c)、(d)和(e)是约束规范理论的特例,而模型(b)和(f)与非约束模型有关。S参数为S= sN_{TC},其中(a)、(b)、(c)、(d)、(f)模型的s分别为0.017、0.016、0.095、0.50和0.043,(e)模型的s是发散的。这些结果在大N_{TC}和大λ_{TC}极限下是有效的。我们进一步推导出了各种模型的技术夸克的“弦端点”质量上的S参数的依赖关系。我们计算了低位矢量技术的质量。

英文摘要:

We study the Peskin-Takeuchi S-parameter of holographic technicolor models. We present the recipe for computing the parameter in a generalized holographic setup. We then apply it to several holographic models that include: (a) the Sakai-Sugimoto model and (b) its non-compactified cousin, (c) a non-critical analog of (a) based on near extremal AdS_6 background, (d) the KMMW model which is similar to model (a) but with D6 and anti-D6 flavor branes replacing the D8 and anti-D8 branes, (e) a model based on D5 branes compactified on two S^1s with D7 and anti-7 probe branes and (f) the conifold model with the same probe branes as in (e). The models are gravity duals of gauge theories with U(N_{TC}) gauge theory and with a breakdown of a flavor symmetry U(N_{TF})xU(N_{TF}) to U_V(N_{TF}). The models (a), (c),(d) and (e) are duals of a confining gauge theories whereas (b) and (f) associate with non confining models. The S-parameter was found to be S=sN_{TC} where s is given by 0.017λ_{TC}, 0.016λ_{TC}, 0.095, 0.50 and 0.043 for the (a),(b),(c),(d), (f) models respectively and for model (e) s is divergent. These results are valid in the large N_{TC} and large λ_{TC} limit. We further derive the dependence of the S-parameter on the "string endpoint" mass of the techniquarks for the various models. We compute the masses of the low lying vector technimesons.

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