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arXiv 0905.3676hep-ph
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共振手征理论中的重整化群方程

Renormalization group equations in resonance chiral theory

J. J. Sanz-Cillero

摘要:

使用运动方程和介子场的重新定义可以发展一个简化的共振手征理论拉格朗日:包括共振场和大量导数的项可以减少到相应的O(p2)共振算子,包含尽可能少的导数。这是通过明确的计算的π矢量的形状因子高达下一个领先的顺序在1/Nc。对相应耦合的重整化群方程的研究证明了共振理论中红外不动点的存在。这里显示了在不动点周围的慢速运行区域中发展微扰1/Nc展开的可能性。

英文摘要:

The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding O(p2) resonance operators, containing the lowest possible number of derivatives. This is shown by means of the explicit computation of the pion vector form-factor up to next-to-leading order in 1/Nc. The study of the renormalization group equations for the corresponding couplings demonstrates the existence of an infrared fixed point in the resonance theory. The possibility of developing a perturbative 1/Nc expansion in the slow running region around the fixed point is shown here.

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