Cluster duality
Cluster duality
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簇对偶性
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
V. Fock
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文献类型：
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作者：
V. Fock
众所周知，轻介子在大Nc极限下的线性质量谱与微扰QCD连续谱是对偶的。我们找到了线性谱的形式，这是最大的对偶微扰理论。所得到的谱是Lovelace-Shapiro对偶振幅的谱。这个谱是手征对称的，因为它对应于QCD中手征对称性破缺的序参量为零。我们进一步假设实际谱与基于OPE的QCD求和规则中的最大对偶谱是对偶的，从而恢复了一些已知的重要关系和陈述。实验光谱似乎支持假设的对偶性：共振的质量聚集在能量平方的某些等距值附近，并且聚集的位置遵循最大对偶性。后者的事实信号的手征对称性恢复在激发态。我们还讨论了最近感兴趣的两个主题：非线性修正弦状谱和二维胶子凝聚。
It is well known that the linear mass spectrum of light mesons in the large-N c limit is dual to the perturbative QCD continuum. We find the form of the linear spectrum which is maximally dual to the perturbation theory. The obtained ansatz turns out to be the spectrum of the Lovelace-Shapiro dual amplitude. This spectrum is chirally symmetric in the sense that it corresponds to zero values for the order parameters of chiral symmetry breaking in QCD. We further assume that the actual spectrum is dual to the maximally dual one within the QCD sum rules based on OPE and in this way recover some known important relations and statements. The experimental spectrum seems to support the assumed duality: The masses of resonances cluster near certain equidistant values of energy squared and the positions of clustering follow the maximally dual ansatz. The latter fact signals the chiral symmetry restoration in the excited states. We discuss also two topics of recent interest: nonlinear corrections to the string-like spectrum and the dimension-two gluon condensate.