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arXiv 0706.0071hep-thhep-ph
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规范场的欧氏时间分量对规范对称性破缺的影响

On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields

M. Sakamoto, K. Takenaga

摘要:

研究了有限温度下有无额外维数的规范理论,其中存在两种规范对称性破缺的序参量。一个是规范场在欧几里德时间方向上的零模,另一个是在额外维方向上的零模。我们计算了单圈近似下零模的有效势,并详细研究了真空位形。我们的分析表明,对于额外维方向,只有零模才能破缺规范对称性,而对于欧几里德时间方向,没有发现零模的非平凡真空位形.

英文摘要:

We study gauge theories with/without an extra dimension at finite temperature, in which there are two kinds of order parameters of gauge symmetry breaking. The one is the zero mode of the gauge field for the Euclidean time direction and the other is that for the direction of the extra dimension. We evaluate the effective potential for the zero modes in one-loop approximation and investigate the vacuum configuration in detail. Our analyses show that gauge symmetry can be broken only through the zero mode for the direction of the extra dimension and no nontrivial vacuum configuration of the zero mode for the Euclidean time direction is found.

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