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arXiv 0708.2864hep-lathep-ph
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电弱理论中磁单极子的晶格研究

Lattice study of monopoles in the Electroweak theory

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

备注：
poster presented at LATTICE 2007
发表信息：
PoSLAT2007:337,2007
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摘要：

本文研究了在实际$α$和$θ_W$值下，格点电弱理论中Nambu单极的数值性质。我们的晶格拉格朗日参数的选择对应于大的希格斯玻色子质量值$M_H > 2 M_W$。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$α\sim {1/128}$中未检测到任何差异。然而，这种差异出现在强耦合区域，并与超荷场构成的单极子的性质有关。

英文摘要：

We investigated numerically properties of Nambu monopoles in lattice Electroweak theory at realistic values of $α$ and $θ_W$. Our choice of parameters of lattice Lagrangian corresponds to large values of the Higgs boson mass $M_H > 2 M_W$. 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 strong coupling region and is related to the properties of monopoles constructed of the hypercharge field.

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