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arXiv 0711.0936hep-ph
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胶子质量和QCD耦合的冻结

Gluon mass and freezing of the QCD coupling

A. C. Aguilar, J. Papavassiliou

摘要:

从规范不变的非线性Schwinger-Dyson方程出发,用Feynman规范的背景场方法得到了纯QCD胶子传播子的红外有限解。这些解可以用一个质量传播子来拟合,它的特殊性质是所用的有效质量随着动量转移的平方反比而渐近下降,这与一般的算子乘积展开的论点是一致的。由于动力学胶子质量的存在,从这些解中提取的强有效电荷冻结在有限值,从而产生QCD的红外不动点。

英文摘要:

Infrared finite solutions for the gluon propagator of pure QCD are obtained from the gauge-invariant non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions may be fitted using a massive propagator, with the special characteristic that the effective mass employed drops asymptotically as the inverse square of the momentum transfer, in agreement with general operator-product expansion arguments. Due to the presence of the dynamical gluon mass the strong effective charge extracted from these solutions freezes at a finite value, giving rise to an infrared fixed point for QCD.

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