Non-Abelian solutions of the Yang-Mills equations for the SU(2) gauge field coupled with the two Higgs fields

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Author

  • Nguyễn Văn Thuận*

Từ khóa:

SU(2) gauge field
non-Abelian solution
two Higgs fields
Yang-Mills theory
SU(2) group
Yang-Mills equation

Tóm tắt

This article considers the SU(2) gauge field coupled with the two Higgs fields. We obtain the non-Abelian solutions of the corresponding field equations. For the constant solution, the gauge field and the two Higgs fields correspond to unbroken local SU(2) symmetry at large distance. Our exact classical solution is infinite at and exhibits a form of an SU(2) gauge charge confinement. In the case constant in our exact classical solution equals zero, the spatial component of the SU(2) gauge field is analogous to the potential of a point magnetic monopole. The constant in our exact solution is a mixing angle which determines the relative contribution of the two Higgs fields. We then investigate the energy of the gauge field and the two Higgs fields.

Tài liệu tham khảo

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Jun 30, 2015
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Nguyen Van Thuan. “Non-Abelian Solutions of the Yang-Mills Equations for the SU(2) Gauge Field Coupled With the Two Higgs Fields”. Tạp Chí Khoa học Và Công nghệ - Đại học Đà Nẵng, vol 6, số p.h 91, Tháng Sáu 2015, tr 97-99, https://jst-ud.vn/jst-ud/article/view/2290.

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