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arXiv 0809.1757hep-lat
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格点电弱理论中的单极

Monopoles in lattice Electroweak theory

B. L. G. Bakker, A. I. Veselov, M. A. Zubkov

备注：
to appear in Proceedings of SPMTP08
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摘要：

在电弱理论中存在着几种类型的类拓扑亏损。我们调查这些对象使用晶格数值方法的属性。它们之间的密切联系和动态的理论建立。我们发现Nambu磁单极子的密度不能用电弱理论初始参数的选择来预测，而应考虑作为电弱理论新的外参数。我们还研究了规范群为$SU(2)\otimes U(1)$和$SU(2)\otimes U(1)/Z_2$的电弱理论的不同版本。我们在$α\sim {1/128}$上没有检测到任何差异。然而，这种差异出现在大耦合常数$α> 0.1$的非物理区域。

英文摘要：

There exist several types of monopole - like topological defects in Electroweak theory. We investigate properties of these objects using lattice numerical methods. The intimate connection between them and the dynamics of the theory is established. We find that the density of Nambu monopoles cannot be predicted by the choice of the initial parameters of Electroweak theory and should be considered as the new external parameter of the theory. We also investigate the difference between the versions of Electroweak theory with the gauge groups $SU(2)\otimes U(1)$ and $SU(2)\otimes U(1)/Z_2$. We do not detect any difference at $α\sim {1/128}$. However, such a difference appears in the unphysical region of large coupling constant $α> 0.1$.

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