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arXiv 0709.1857hep-ph
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非对易几何中的规范统一

Gauge unification in noncommutative geometry

C. A. Stephan

摘要:

规范统一被广泛认为是标准模型扩展的理想特征。不幸的是,标准模型本身并没有表现出其运行规范耦合的统一,但这是大统一理论以及标准模型的非对易版本所要求的。这里我们将考虑文献[6]中提出的非对易标准模型通过向量偶的扩展。这种修改的两个后果是:1。相对于从大统一理论已知的关系,在统一能量下的耦合常数的关系被改变。2.扩展的模型允许在~10^(13)GeV的规范耦合的统一。

英文摘要:

Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but it is required by grand unified theories as well as the noncommutative version of the standard model [2]. We will consider here the extension of the noncommutative standard model by vector doublets as proposed in [6]. Two consequences of this modification are: 1. the relations of the coupling constants at unification energy are altered with respect to the well known relation from grand unified theories. 2. The extended model allows for unification of the gauge couplings at ~10^(13) GeV.

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