arXiv 0904.30672009-04hep-phhep-lathep-thnucl-th

手征对称性、QED和QCD中矢量流的角含量和强子的全息描述

Chiral symmetry, the angular content of the vector current in QED and QCD, and the holographic description of hadrons

L. Ya. Glozman, A. V. Nefediev

备注：: 4 pp. The title has been changed. Implications for OPE and holographic description of mesons have been added. To appear in PRD
发表信息：: Phys.Rev.D80:057901,2009
DOI：: 10.1103/PhysRevD.80.057901

摘要：

我们进行了一般的手征对称性和么正性为基础的本地过程的费米子，反费米子创建的真空中的高能光子以及明确的分波分析的矢量流在QED和QCD的分析。事实证明，这样一个局部过程必然通过$S$波和$D$波的某种叠加来进行。手征对称性和么正性的这些限制，然后面对著名的理论和实验结果$e^+e^-\toγ\to e^+e^-$，$e^+e^-\toγ\to μ^+μ^-$，和$e^+e^-\toγ\to q\bar{q}$在超相对论极限。结果表明，这些著名的结果是一致的$S+D$波结构的顶点和不一致的纯$S$波解释的顶点。然后，在$1^{--}$通道中的自由夸克环，代表算符乘积展开中的前导项，包含$S$波和$D$波的贡献。这一事实排除了具有固定$S$波含量的$ρ$介子只有一个径向轨道的可能性。这也意味着所有假设$ρ$介子的纯$S$波含量的全息模型在紫外边界$z=0$必须不满足匹配条件。

英文摘要：

We perform a general chiral symmetry and unitarity based analysis of a local process of the fermion-antifermion creation from the vacuum by a high-energy photon as well as an explicit partial wave analysis of the vector current in QED and QCD. It turns out that such a local process proceeds necessarily via a certain superposition of the $S$- and $D$-wave contributions. These constraints from chiral symmetry and unitarity are confronted then with the well-known theoretical and experimental results on $e^+e^-\toγ\to e^+e^-$, $e^+e^-\toγ\to μ^+μ^-$, and $e^+e^-\toγ\to q\bar{q}$ in the ultrarelativistic limit. It is shown that these well-known results are consistent with the $S+D$-wave structure of the vertex and are inconsistent with the pure $S$-wave interpretation of the vertex. Then a free quark loop in the $1^{--}$ channel, representing the leading term in the Operator Product Expansion, contains both $S$-wave and $D$-wave contributions. This fact rules out the possibility that there is only one radial trajectory for the $ρ$-mesons with the fixed $S$-wave content. It also implies that all holographic models that assume a pure $S$-wave content of the $ρ$-meson have to fail to satisfy the matching conditions at the ultraviolet border $z=0$.

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英文摘要：

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