Renormalizable models with simple symmetry breaking
Renormalizable models with simple symmetry breaking
复制标题
具有简单对称性破缺的可重整化模型
DOI：
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发表时间：
1970
期刊：
影响因子：
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通讯作者：
K. Symanzik
中科院分区：
文献类型：
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作者：
K. Symanzik
如果在场的一组连续的线性变换下具有不变性的拉格朗日密度加上场中的线性或双线性项，则对称性一般被降低，而与原始对称性相关的电流仅部分守恒。如果没有附加项的理论是可重整化的，那么有附加项的理论也是可重整化的，并且所需的重整化条件是适当的Ward-Takahashi-Kazes-Rivers恒等式的本质内容。本文全面分析了玻色场(源项)中线性项对称破缺的情况，特别是关于消失源项的非对称极限，一种特殊的Goldstone模，以及作为源项强度函数的基态能量密度的性质。对离散对称性的诱发和自发破坏也进行了讨论。
If to a Lagrangian density with invariance under a continuous group of linear transformations of the fields a term linear or bilinear in the fields is added, the symmetry is in general reduced and the currents associated with the original symmetry are only partially conserved. If the theory without the added term is renormalizable, the theory with that term also is, and the needed renormalization conditions are the essential content of the appropriate Ward-Takahashi-Kazes-Rivers identities. The case of symmetry breaking by a term linear in Bose fields (source term) is here analysed completely, in particular with respect to the nonsymmetric limit of vanishing source term, a particular Goldstone mode, and with respect to properties of the ground state energy density as a function of the strength of the source term. Induced and spontaneous breaking of a discrete symmetry are also treated.