Half-monopole in the Weinberg-Salam model

DOI10.1016/J.AOP.2015.01.018zbMATH Open1377.81111arXiv1406.0978OpenAlexW3100667413MaRDI QIDQ1692490

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Publication date: 10 January 2018

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Abstract: We present new axially symmetric half-monopole configuration of the SU(2)$imes$U(1) Weinberg-Salam model of electromagnetic and weak interactions. The half-monopole configuration possesses net magnetic charge $2pi/e$ which is half the magnetic charge of a Cho-Maison monopole. The electromagnetic gauge potential is singular along the negative $z$-axis. However the total energy is finite and increases only logarithmically with increasing Higgs field self-coupling constant $lambd{a}^{1/2}$ at $si{n}^{2}het{a}_W=0.2312$. In the U(1) magnetic field, the half-monopole is just a one dimensional finite length line magnetic charge extending from the origin $r=0$ and lying along the negative $z$-axis. In the SU(2) 't Hooft magnetic field, it is a point magnetic charge located at $r=0$. The half-monopole possesses magnetic dipole moment that decreases exponentially fast with increasing Higgs field self-coupling constant $lambd{a}^{1/2}$ at $si{n}^{2}het{a}_W=0.2312$.

Full work available at URL: https://arxiv.org/abs/1406.0978

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