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arXiv 0810.2845hep-phnucl-th
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再论矢量和轴向矢量真空磁化率

Revisiting the Vector and Axial-vector Vacuum Susceptibilities

Lei Chang, Yu-xin Liu, Wei-min Sun, Hong-shi Zong

摘要:

利用矢量和轴矢量的Ward-Takahashi恒等式,我们重新研究了矢量和轴矢量的真空可积性。我们分析表明,在手征极限,矢量真空磁化率为零,轴向矢量真空磁化率等于四分之三的平方的π衰变常数。此外,我们的分析再现了温伯格求和规则。

英文摘要:

We re-investigate the vector and axial-vector vacuum susceptibilities by taking advantage of the vector and axial-vector Ward-Takahashi identities. We show analytically that, in the chiral limit, the vector vacuum susceptibility is zero and the axial-vector vacuum susceptibility equals three fourths of the square of the pion decay constant. Besides, our analysis reproduces the Weinberg sum rule.

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