arXiv subjects

Guo-Quan Wong

Publications and source records attributed to Guo-Quan Wong.

7 recordsLinked to original sources

arXiv2024

Generalized Half-Dyon in Weinberg-Salam Theory

We construct and study numerical solutions corresponding to generalized electrically charged half-monopole in Weinberg-Salam theory, denoted as Type I and Type II solutions. These solutions possess magnetic charge $q_m = +2 n π/e$ ($-2 n π/e$) and electric charge $q_{e}$ that depends on the electric charge parameter $η$, as well as net zero neutral charge. Other properties of this half-dyon configurations such as magnetic dipole moment and angular moment are studied. The energy of this half-dyon configuration is infinite due to singularity at the location of the half-dyon.

hep-th↗

arXiv2024

Generalized Half-Dyon in SU(2) Yang-Mills-Higgs Theory

We report on generalized half-dyon solutions in SU(2) Yang-Mills-Higgs theory, namely Type I and Type II solutions. These solutions are constructed by considering $ϕ$-winding number $1\leq n \leq 4$, electric charge parameter $0 \leqη<η_{max}$ and Higgs self-coupling constant $0 \leq β\leq 1$. They represent system of magnetic charge $+2nπ/g$ ($-2nπ/g$) and electric charge $Q$ that lies along the negative (positive) $z$-axis. Fundamental properties such as total energy, electric charge, dipole moment are explored and discussed.

hep-th↗

arXiv2023

Electroweak Monopole-antimonopole Pair in the Standard Model

We present the first numerical solution that corresponds to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)$\times$U(1) Weinberg-Salam (WS) theory. The monopoles are finitely separated, while each pole carries magnetic charge $\pm 4π/e$. The positive pole is situated in the upper hemisphere, whereas the negative pole is in the lower hemisphere. The Cho-Maison MAP was investigated for a range of Weinberg angle, $0.4675\leq\tanθ_W\leq10$, and Higgs self-coupling, $0\leqβ\leq1.7704$. Magnetic dipole moment ($μ_m$) and pole separation ($d_z$) of the numerical solutions are calculated and analyzed. Total energy of the system, however, is infinite due to point singularities at the locations of monopoles.

hep-ph↗

arXiv2022

Oscillating monopole-antimonopole pair in the Weinberg-Salam model

We investigate further the properties of axially symmetrical monopole-antimonopole pair in the standard Weinberg-Salam theory. These numerical solutions behave quite differently from their counterparts in the SU(2) Yang-Mills-Higgs theory as the poles are now bounded by a flux string. Our results confirm that the energy of these solutions resides in a range of 13.17 - 21.02 TeV. In addition, we found strong evidence suggesting this configuration is time-dependent and discovered an energy oscillation phenomenon between the monopole and anti-monopole, which is associated with the symmetry of the solution. Finally, we calculate numerically the magnetic charge of the solution and confirm that its value is indeed $\frac{4π}{e}\sin^2θ_{\scalebox{.5} {W}}$, as predicted by Y. Nambu in the 1970s. Counterintuitively, the magnetic charge is spread out and distributed along the string instead of concentrated near the poles.

hep-th↗

arXiv2022

System of excited monopole-antimonopole pair in the Weinberg-Salam model

We investigate further the properties of axially symmetric monopole-antimonopole pair in the standard Weinberg-Salam model. By using a novel data sampling approach, we have obtained and analyzed 300 numerical solutions corresponding to physical Higgs self-coupling $β=0.7782$ and the Weinberg angle $\tanθ_W=0.5358$. We calculate the energy of these solutions and confirm that they reside in a range of 13.1690 - 21.0221 TeV. In addition, a unique pattern is shown when the data are arranged according to an algorithm based on the system's symmetry, which seems to indicate the system is oscillating. We also calculate numerically the magnetic charge of the solutions and confirm that their values are indeed $\pm\frac{4π}{e}\sin^2θ_W$.

hep-ph↗

arXiv2021

Bifurcating Branches of Multiple Charged One-Plus-Half Monopole In SU(2) Yang-Mills-Higgs Theory

In this paper, we study on the one-plus-half monopole configuration in SU(2) Yang-Mills-Higgs theory when the $ϕ$-winding number, $n$, runs from 2 to 4 and for a range of Higgs coupling constant, $λ_b \leq λ\leq 40$, where $λ_b$ is the lower bound, below which no solution can be found. Bifurcation and transition are observed for $n > 2$ when the Higgs coupling constant is larger than some critical value $λ_c$ and transitional value $λ_t$, respectively. Two different branches with energy higher than the fundamental solution are observed for both $n = 3$ and $4$. We also observed a new branch with even higher energy for $n = 4$. Unlike other branches which display transition behavior, the new branch corresponds to a full vortex-ring configuration. All the solutions possess finite energy. Plots of magnetic charge density, Higgs modulus and energy density are presented and analyzed.

hep-th↗

arXiv2021

Gravitating Cho-Maison Monopole

We study numerical solutions corresponding to spherically symmetric gravitating electroweak monopole and magnetically charged black holes of the Einstein-Weinberg-Salam theory. The gravitating electroweak monopole solutions are quite identical to the gravitating monopole solution in SU(2) Einsten-Yang-Mills-Higgs theory, but with distinctive characteristics. We also found solutions representing radially excited monopole, which has no counterpart in flat space. Both of these solutions exist up to a maximal gravitational coupling before they cease to exist. Lastly we also report on magnetically charged non-Abelian black holes solutions that is closely related to the regular monopole solutions, which represents counterexample to the `no-hair' conjecture.

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