Nonperturbative definition of five-dimensional gauge theories on the R4×S1/Z2 orbifold
Nonperturbative definition of five-dimensional gauge theories on the R4×S1/Z2 orbifold
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R4×S1/Z2轨道上五维规范理论的非微扰定义
DOI：
10.1016/j.nuclphysb.2005.05.002
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
F. Knechtli
中科院分区：
文献类型：
--
作者：
N. Irges;F. Knechtli
我们用一个紧致的第五维构造了一个在五维中表述的SU（N）规范理论的Z ~ 2轨道折叠投影。我们表明，通过非微扰的参数，没有边界质量项的希格斯场，确定与规范场的一些第五维组件，产生，这将是二次发散的五维紫外截止。这开启了非微扰地研究这些理论的可能性，以确定它们是否可以用作低能时有效的弱相互作用理论。我们为研究晶格做准备。特别是，我们表明，只有狄利克雷边界条件是必要的，它指定的破缺模式的规范组在orbifold不动点。
We construct a Z2orbifold projection of SU(N) gauge theories formulated in five dimensions with a compact fifth dimension. We show through a nonperturbative argument that no boundary mass term for the Higgs field, identified with some of the fifth-dimensional components of the gauge field, is generated, which would be quadratically divergent in the five-dimensional ultraviolet cutoff. This opens the possibility of studying these theories nonperturbatively in order to establish if they can be used as effective weakly interacting theories at low energies. We make preparations for a study on the lattice. In particular we show that only Dirichlet boundary conditions are needed, which specify the breaking pattern of the gauge group at the orbifold fixpoints.