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arXiv 1801.01682nucl-thhep-phhep-th
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平行电磁场中的Nambu-Jona-Lasinio模型

Nambu--Jona-Lasinio model in a parallel electromagnetic field

Lingxiao Wang, Gaoqing Cao, Xu-Guang Huang, Pengfei Zhuang

摘要:

研究了在平行电磁场存在下,不含Kobayashi-Maskawa-'t Hooft行列式项的Nambu-Jona-Lasinio模型的$U_A(1)$和手征对称性破缺的特征.我们发现电磁手征反常可以诱导有限中性π凝聚和同位旋单重态赝标$η$凝聚,从而改变了手征对称性破缺模式.为了表征$U_A(1)$对称性破缺的强度,我们评估了与$U_A(1)$电荷相关的磁化率。结果表明,手性反常贡献的磁化率与相应的$η$凝聚体的行为是一致的。研究了介子激发谱。

英文摘要:

We explore the features of the $U_A(1)$ and chiral symmetry breaking of the Nambu--Jona-Lasinio model without the Kobayashi-Maskawa-'t Hooft determinant term in the presence of a parallel electromagnetic field. We show that the electromagnetic chiral anomaly can induce both finite neutral pion condensate and isospin-singlet pseudo-scalar $η$ condensate and thus modifies the chiral symmetry breaking pattern. In order to characterize the strength of the $U_A(1)$ symmetry breaking, we evaluate the susceptibility associated with the $U_A(1)$ charge. The result shows that the susceptibility contributed from the chiral anomaly is consistent with the behavior of the corresponding $η$ condensate. The spectra of the mesonic excitations are also studied.

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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