带两顶墨西哥帽的$σ$模型中手征对称性和宇称性的自发破缺
Spontaneous breaking of chiral symmetry, and eventually of parity, in a $σ$-model with two Mexican hats
摘要：
讨论了一个带有两个墨西哥帽子的sigma模型。这种情况可以在低能QCD中实现，当基态和第一激发（赝）标量介子都包括在内时，不仅在基态的子空间中，而且在第一激发态的子空间中，墨西哥帽势都存在。这种可能性可以改变低能强子QCD理论的一些基本特征。研究还表明，宇称自发破缺可以发生在真空中的一些参数的选择模型。
英文摘要：
A sigma-model with two linked Mexican hats is discussed. This scenario could be realized in low-energy QCD when the ground state and the first excited (pseudo)scalar mesons are included, and where not only in the subspace of the ground states, but also in that of the first excited states, a Mexican hat potential is present. This possibility can change some basic features of a low-energy hadronic theory of QCD. It is also shown that spontaneous breaking of parity can occur in the vacuum for some parameter choice of the model.
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