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ϕ4模型真空态间的转换算符

Operator Changing Between Two Vacua of the ϕ4 Quantum Field Theory

  • 摘要: 本工作在正则量子化的基础上,对\phi^4模型的哈密顿量采取正规序来正规化真空零点能,然后微扰计算了至次领头阶的真空态修正。同时首次得到可以在\phi^4模型的两个真空态之间转换的算符,我们相信这个算符也是适当极限条件下产生\phi^4扭结(kink)的算符的形式。最后简要说明了真空能的应用。

     

    Abstract: In this note, we normal order the Hamiltonian of \phi^4 model to regularize the vacuum energy, based on canonical quantization. We perturbatively calculate the correction of the vacuum state to the second order, meanwhile at the first time get an operator that can change between two vacua of the \phi^4 quantum field theory. We believe this operator is at the same time the \phi^4 kink operator in a certain limit. In the end we give a brief introduction to the application of the vacuum energy.

     

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