Effective gauge theories on domain walls via bulk confinement
Effective gauge theories on domain walls via bulk confinement
复制标题
通过体限制对畴壁进行有效规范理论
DOI：
10.1088/1126-6708/2004/04/027
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发表时间：
2004
影响因子：
5.4
通讯作者：
M. Shaposhnikov
中科院分区：
文献类型：
--
作者：
M. Laine;Harvey B. Meyer;K. Rummukainen;K. Rummukainen;K. Rummukainen;M. Shaposhnikov
在Dvali和Shifman最初提出的3+1维的情况下，我们用格子技术研究了2+1维的域壁缺陷的规范场的局域化，基于体中的约束动力学。我们发现，如果磁区壁与整体的禁闭尺度相比足够宽，则存在局域规范零模。相应的低能有效理论的适用范围由高阶模式的质量差决定。对于宽磁区，这个质量间隙是由宽度决定的“Kaluza-Klein模”决定的。指出在这种情况下，局域零模相互作用产生的动力学能量标度实际上高于质量隙。因此，至少在2+1维中，零模本身并不能形成传统类型的低能有效规范理论。最后，我们讨论了这种情况在进入3+1维的过程中会发生怎样的变化。
We study with lattice techniques the localisation of gauge fields on domain wall defects in 2+1 dimensions, following a scenario originally proposed by Dvali and Shifman for 3+1 dimensions, based on confining dynamics in the bulk. We find that a localised gauge zeromode does exist, if the domain wall is wide enough compared with the confinement scale in the bulk. The range of applicability of the corresponding low-energy effective theory is determined by the mass gap to the higher modes. For a wide domain wall, this mass gap is set by “Kaluza–Klein modes” as determined by the width. It is pointed out that in this regime the dynamical energy scales generated by the interactions of the localised zero-modes are in fact higher than the mass gap. Therefore, at least in 2+1 dimensions, the zero-modes alone do not form a low-energy effective gauge theory of a traditional type. Finally, we discuss how the situation is expected to change in going to 3+1 dimensions.