Quantum Theory of Kaluza-Klein (higher dimensional) Field Theory

* 在具有紧化额外维的五维格点SU（2）Yang-Mills理论中进行了Monte Carlo模拟，研究了标度律.我们的模拟表明，随着紧化半径的减小，束缚相越来越多地向弱耦合区扩展，理论的有效维数逐渐从5变为4。在额外维度中，规范相互作用的红外吸引力被放大。我们发现，这种力可以在红外线上将软超对称破缺项从基本尺度上的无政府无序中排列出来，从而在统一尺度上充分抑制了改变味道的中性流以及危险的CP破坏相。为了在平凡场论中实现最大局域性，我们通过微调参数的红外值来最大化理论的紫外截止。我们的结果支持了先前提出的主张，即在不可重整化场论中，紫外截止的最大化可以使理论具有更强的预测能力。在最近提出的标准模型的最小扩展，其中的排列对称性S3被假定为一个确切的味对称在弱标度的轻子部门，被重新审视。我们发现，S3与一个额外的ZN对称性允许CP违反中微子混合相。轻子部分包含六个真实的参数，有两个独立的相位来描述带电轻子和中微子质量以及中微子混合。该模型的预测可以在不久的将来在实验中进行测试。在闭链上解构的额外维自然具有正多边形的对称性，即二面角对称DN。结果发现，Q2 N对称性出现作为一个完整的，内部的全球风味对称在低能量。给出了一个基于奇N的Q6 N的具体预测模型。

* Monte Carlo simulations are performed in a five-dimensional lattice SU(2) Yang-Mills theory with, a compactified extra dimension, and scaling laws are studied. Our simulations indicate that as the compactification radius decreases, the confining phase spreads more and more to the weak coupling regime, and the effective dimension of the theory changes gradually from five to four.* In extra dimensions the infrared attractive force of gauge interactions is amplified. We find that this force can align in the infrared limit the soft-supersymmetry breaking terms out of their anarchical disorder at a fundamental scale, in such a way that flavor-changing neutral currents as well as dangerous CP-violating phases are sufficiently suppressed at the unification scale.* To achieve a maximal locality in a trivial field theory, we maximize the ultraviolet cutoff of the theory by fine tuning the infrared values of the parameters. Our result supports the previously made claim that the maximization of the ultraviolet cutoff in an nonrenormalizable field theory can give the theory more predictive power.* The leptonic sector in a recently proposed minimal extension of the standard model, in which the permutation symmetry S3 is assumed to be an exact flavor symmetry at the weak scale, is revisited. We find that S3 with an additional ZN symmetry allows CP violating phases in the neutrino mixing. The leptonic sector contains six real parameters with two independent phases to describe charged lepton and neutrino masses and the neutrino mixing. The predictions of the model can be tested in experiments in near future.* Extra dimension deconstructed on a closed chain has naturally the symmetry of a regular polygon, the dihedral symmetry DN. It is found that the Q2N symmetry appears as an intact, internal global flavor symmetry at low energies. A concrete predictive model based on Q6N with an odd N is given.