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arXiv 1105.3534hep-phhep-th
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Lifshitz型规范理论中的规范-Higgs统一

Gauge-Higgs Unification in Lifshitz Type Gauge Theory

Hisaki Hatanaka, Makoto Sakamoto, Kazunori Takenaga

摘要:

我们在Lifshitz型规范理论的框架下讨论规范-Higgs统一。研究了R^{D-1} \times S^{1}上的高维规范理论,其中作用量(费米子)场的正常二(一)阶导数项被额外维方向的高阶导数项所取代.我们提供了一些数学工具来计算高维规范场额外分量零模的单圈有效势,并阐明了高阶导数项如何影响有效势的标准形式。我们的结果表明,它们可以使希格斯质量更重,并急剧改变其真空期望值。我们的框架的一些扩展进行了简要讨论。

英文摘要:

We discuss the gauge-Higgs unification in a framework of Lifshitz type gauge theory. We study a higher dimensional gauge theory on R^{D-1}\times S^{1} in which the normal second (first) order derivative terms for scalar (fermion) fields in the action are replaced by higher order derivative ones for the direction of the extra dimension. We provide some mathematical tools to evaluate a one-loop effective potential for the zero mode of the extra component of a higher dimensional gauge field and clarify how the higher order derivative terms affect the standard form of the effective potential. Our results show that they can make the Higgs mass heavier and change its vacuum expectation value drastically. Some extensions of our framework are briefly discussed.

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