Half-Monopole in the Weinberg-Salam Model

Abstract

We present new axially symmetric half-monopole configuration of the SU(2)$\times$U(1) Weinberg-Salam model of electromagnetic and weak interactions. The half-monopole configuration possesses net magnetic charge $2\pi /e$ 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 ${\lambda }^{1/2}$ at ${\sin }^2{\theta }_W=0.2312$. 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 ${\lambda }^{1/2}$ at ${\sin }^2{\theta }_W=0.2312$.

14 pages, 3 Figures

References in corpus (3)

• Transitions between Vortex Rings and Monopole-Antimonopole Chains
• Spinning Electroweak Sphalerons
• Sphalerons, Antisphalerons and Vortex Rings

Cited by in corpus (1)

• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos