Renormalizable Theories from Fuzzy Higher Dimensions
Renormalizable Theories from Fuzzy Higher Dimensions
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模糊高维的可重整化理论
DOI：
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发表时间：
2005
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：
P. Aschieri;J. Madore;P. Manousselis;G. Zoupanos
我们考虑在更高维度中定义的规范理论，其中额外维度形成模糊空间（有限矩阵流形）。我们将这些规范理论重新解释为具有卡鲁扎-克莱因模式的四维理论。然后，我们执行广义的“a la Forgacs-Manton 降维”。我们强调一些出现的显着特征，例如（i）从高维阿贝尔规范理论开始的四维非阿贝尔规范理论的出现，（ii）该理论的自发对称破缺完全发生在额外维度中的事实，以及（iii）该理论在高维和四维中的重整性。
We consider gauge theories defined in higher dimensions where the extra dimensions form a fuzzy space (a finite matrix manifold). We reinterpret these gauge theories as four-dimensional theories with Kaluza-Klein modes. We then perform a generalized `a la Forgacs-Manton dimensional reduction. We emphasize some striking features emerging such as (i) the appearance of non-abelian gauge theories in four dimensions starting from an abelian gauge theory in higher dimensions, (ii) the fact that the spontaneous symmetry breaking of the theory takes place entirely in the extra dimensions and (iii) the renormalizability of the theory both in higher as well as in four dimensions.