Holography of the conformal window

Holography of the conformal window
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共形窗口的全息术

DOI:
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发表时间:
2012
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通讯作者:
Keun
Keun
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作者:
Raul Alvares;N. Evans;Keun

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受Jarvinen和Kiritsis模型的启发,我们提出了一个简单的全息模型,描述了Veneziano极限下QCD共形窗边缘的手征对称性破缺。我们最朴素的模型在D3/D 7全息膜系统上实现了QCD双圈运行耦合。当运行足够强时,描述模型中手征凝聚体的全息场的质量被驱动到Breitenlohner-Freedman束缚以下,从而触发Nf/Nc<2.9的手征对称性破缺。这个模型包含了太多的超对称性残余,并且没有正确地编码QCD的微扰反常维度。在第二个模型中,我们施加QCD反常尺寸的结果,发现手征对称性破缺集Nf/Nc=4在Berezinsky-Kosterlitz-Thouless型相变。在这种情况下,当质量算符的反常维数γm=1时,跃迁被触发。
Inspired by the model of Jarvinen and Kiritsis, we present a simple holographic model for the onset of chiral symmetry breaking at the edge of the conformal window in QCD in the Veneziano limit. Our most naive model enforces the QCD two-loop running coupling on a D3/D7 holographic brane system. The mass of the holographic field, describing the chiral condensate in the model, is driven below the Breitenlohner-Freedman bound when the running is sufficiently strong, triggering chiral symmetry breaking for Nf/Nc<2.9. This model though contains too great a remnant of supersymmetry and does not correctly encode the perturbative anomalous dimensions of QCD. In a second model we impose the QCD anomalous dimension result and find chiral symmetry breaking sets in for Nf/Nc=4 at a Berezinsky-Kosterlitz-Thouless-type phase transition. In this case the transition is triggered when the anomalous dimension of the mass operator γm=1.