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arXiv 0803.4104hep-ph
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Weinberg求和规则的奇偶加倍

Parity doubling from Weinberg sum rules

A. A. Andrianov, D. Espriu

摘要:

我们研究了具有给定自旋和不同宇称的介子的Regge轨线的斜率和截距之间的关系,采用大N_c参数和与微扰QCD在深Minkowski区域的匹配。对于自旋为1的宇称相反的介子,我们证明了:a)当N_c增大时,分离通道V,A中共振主导区和微扰饱和区的尺度Λ^{(V,A)}按\sqrt{N_c}增长,b)满足Weinberg求和规则时,宇称相反的介子的Regge轨线的斜率必须重合; c)它们的截距可以不同,并且它们的差对应于Λ^V和Λ^A之间的差。有些论点指出,这个差异应该趋于零,因为N_c \to \infty。

英文摘要:

We investigate the relation among slopes and intercepts of Regge trajectories for mesons of a given spin and different parities using large N_c arguments and the matching to perturbative QCD in the deep-Minkowski region. For spin-1 mesons of opposite parities we prove that: a) for large and increasing N_c, the scale Λ^{(V,A)} separating the resonance-dominated and the perturbative-saturated region in the channels V,A grows as \sqrt{N_c}; b) to satisfy the Weinberg sum rules the slopes of Regge trajectories for mesons of opposite parities must coincide; c) their intercepts may differ and their difference corresponds to the difference between Λ^V and Λ^A. Some arguments indicate that this difference should tend to zero as N_c\to\infty.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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