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arXiv 1109.6729hep-lathep-phnucl-th
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关于3-味QCD的泛临界性态

On the universal critical behavior in 3-flavor QCD

Dominik Smith, Christian Schmidt

摘要:

分析了具有三个简并夸克质量的QCD在手征临界点处的普适临界行为。我们确认这个临界点位于三维伊辛模型的普适类中。伊辛模型的对称性,即Z(2),在QCD哈密顿量中没有直接实现。在对类磁化算符和类能量算符作为手征凝聚和胶子作用量的线性混合物进行了分析之后,我们确定了几个非普适的混合常数和归一化常数.这些参数决定了QCD中的临界行为到3d-伊辛模型的临界行为的明确映射。我们验证了它的有效性,从而得到的序参量尺度按照磁状态方程的3d-伊辛模型。

英文摘要:

We analyze the universal critical behavior at the chiral critical point in QCD with three degenerate quark masses. We confirm that this critical point lies in the universality class of the three dimensional Ising model. The symmetry of the Ising model, which is Z(2), is not directly realized in the QCD Hamiltonian. After making an ansatz for the magnetization- and energy-like operators as linear admixtures of the chiral condensate and the gluonic action, we determine several non-universal mixing and normalization constants. These parameters determine an unambiguous mapping of the critical behavior in QCD to that of the 3d-Ising model. We verify its validity by showing that the thus obtained orderparameter scales in accordance with the magnetic equation of state of the 3d-Ising model.

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