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arXiv 0707.4592hep-th
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自对偶半局域平面拓扑孤子质量的单圈修正

One loop corrections to the mass of self-dual semi-local planar topological solitons

A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado, J. Mateos Guilarte

摘要:

推导了自对偶半局域拓扑孤子的单圈质量位移计算公式。这些扩展的物体,在三维空间中被称为半局域弦,出现在一个广义阿贝尔希格斯模型中,该模型具有复希格斯场的双重态。这个奇怪的系统混合了整体对称性SU(2)和局部对称性U(1),看起来很奇怪,但实际上当弱混合角为90度时,它是电弱理论的玻色子部分。计算半经典质量位移的过程是基于正则量子化和热核/zeta函数正则化方法。

英文摘要:

A formula is derived that allows the computation of one-loop mass shifts for self-dual semilocal topological solitons. These extended objects, which in three spatial dimensions are called semi-local strings, arise in a generalized Abelian Higgs model with a doublet of complex Higgs fields. Having a mixture of global, SU(2), and local (gauge), U(1), symmetries, this weird system may seem bizarre, but it is in fact the bosonic sector of electro-weak theory when the weak mixing angle is of 90 degrees. The procedure for computing the semi-classical mass shifts is based on canonical quantization and heat kernel/zeta function regularization methods.

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