Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
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DOI：
10.1103/physrevd.100.095014
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发表时间：
2018-11
影响因子：
5
通讯作者：
M. Arai;F. Blaschke;M. Eto;N. Sakai
中科院分区：
文献类型：
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作者：
M. Arai;F. Blaschke;M. Eto;N. Sakai
对于膜世界场景中的低能四维有效场理论来说，获得（几乎）无质量的局域模式非常重要。我们提出了一种利用经典场论设置中的场相关动力学函数的玻色子零模式机制。作为一个特别简单的情况，我们考虑五维的磁畴壁，并表明标量（0-形式）、矢量（1-形式）和张量（2-形式）场的无质量状态出现在磁畴壁上，这可以称为拓扑，因为它们存在的鲁棒性（对参数的连续变形不敏感）。局域无质量玻色子的自旋是由非线性动力学函数的形状选择的，类似于著名的杰克伊-雷比机制对费米子的手性选择。给出了几个明确可解的例子。我们不仅考虑非紧额外维度中的（反）BPS 畴壁，而且还考虑紧额外维度中的非 BPS 畴壁。
It is important to obtain (nearly) massless localized modes for the low-energy four-dimensional effective field theory in the brane-world scenario. We propose a mechanism for bosonic zero modes using the field-dependent kinetic function in the classical field theory set-up. As a particularly simple case, we consider a domain wall in five dimensions, and show that massless states for scalar (0-form), vector (1-form), and tensor (2-form) fields appear on a domain wall, which may be called topological because of robustness of their existence (insensitive to continuous deformations of parameters). The spin of localized massless bosons is selected by the shape of the nonlinear kinetic function, analogously to the chirality selection of fermion by the well-known Jackiw-Rebbi mechanism. Several explicitly solvable examples are given. We consider not only (anti)BPS domain walls in non-compact extra dimension but also non-BPS domain walls in compact extra dimension.