Fermions on spontaneously generated spherical extra dimensions
Fermions on spontaneously generated spherical extra dimensions
复制标题
自发生成的球形额外维度上的费米子
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
G. Zoupanos
中科院分区：
文献类型：
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作者：
H. Steinacker;G. Zoupanos
我们将费米子引入到hep-th/0606021中提出的模型中，得到了一个可重整化的4维SU（N）规范理论，它自发地产生模糊额外维，并且在M4 × S2上表现出类似于Yang-Mills理论的行为.我们发现在低能规范群下有一个截断的费米子Kaluza-Klein态塔，它可以是SU（n），也可以是SU（n1）× SU（n2）× U（1）.后一种情况意味着S2上的非平凡U（1）通量，导致双基本费米子的零模。在非手征的情况下，它们可能配对获得质量，而出现的图像是镜像费米子。我们讨论了在6维，这是不平凡的，由于额外的维度的模糊性在量子水平上的手征性约束的可能实现。
We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and behaves like Yang-Mills theory on M4 × S2. We find a truncated tower of fermionic Kaluza-Klein states transforming under the low-energy gauge group, which is found to be either SU(n), or SU(n1) × SU(n2) × U(1). The latter case implies a nontrivial U(1) flux on S2, leading to would-be zero modes for the bifundamental fermions. In the non-chiral case they may pair up to acquire a mass, and the emerging picture is that of mirror fermions. We discuss the possible implementation of a chirality constraint in 6 dimensions, which is nontrivial at the quantum level due to the fuzzy nature of the extra dimensions.