Nambu-Goldstone bosons and the Higgs mechanism without Lorentz invariance: Analysis based on constrained-system theory
Nambu-Goldstone bosons and the Higgs mechanism without Lorentz invariance: Analysis based on constrained-system theory
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南部-戈德斯通玻色子和没有洛伦兹不变性的希格斯机制：基于约束系统理论的分析
DOI：
10.1103/physrevd.90.085014
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发表时间：
2014
影响因子：
5
通讯作者：
Shinya Gongyo and Shintaro Karasawa
中科院分区：
文献类型：
--
作者：
Shota Nakanoh;Kiyokazu Agata;鈴木恵雅(第一著者);Shinya Gongyo and Daniel Zwanziger;Shinya Gongyo and Shintaro Karasawa
首先，我们推导了包含二次导数项的系统的Nambu-Goldstone玻色子计数规则。在这种情况下，II型南武-戈德斯通玻色子可能会与大质量的南武-戈德斯通玻色子一起沿着出现。玻色子的数量并没有减少，相反，没有两个时间的导数项的系统。我们还研究了减少的自由度的角度的Dirac-Bergmann理论的约束和重现的计数规则，南武-戈德斯通玻色子没有洛伦兹不变性。然后，我们在Dirac-Bergmann理论的基础上，构造了一般的Higgs模型，并研究了含这些Nambu-Goldstone玻色子的Higgs现象。我们表明，在这个系统中的规范场吸收所有的南武-戈德斯通玻色子，如I型，II型，和大规模的。
First, we develop the counting rule for Nambu-Goldstone bosons to the system including two-time derivative terms. In this case, the type-II Nambu-Goldstone bosons may appear along with the massive Nambu-Goldstone ones. The number of the bosons is not reduced in contrast to the system without two-time derivative terms. We also investigate the reduction of the degrees of freedom from the perspective of the Dirac-Bergmann theory of constraints and reproduce the counting rule for Nambu-Goldstone bosons without Lorentz invariance. Then, we construct the generic Higgs model and study a Higgs phenomenon with these Nambu-Goldstone bosons on the basis of the Dirac-Bergmann theory. We show that the gauge fields in this system absorb all of the Nambu-Goldstone bosons such as the type-I, type-II, and massive ones.