Internal force distributions in the ’t Hooft-Polyakov monopole and Julia-Zee dyon
نویسندگان
چکیده
The energy-momentum tensor (EMT) of the 't Hooft-Polyakov monopole and Julia-Zee dyon are studied. This contains important information about pressure shear force distributions which define mechanical properties systems. Obtaining violation local stability criterion for magnetic we decompose EMTs into long- short-range parts. decomposition depends on Abelian field strength cannot be uniquely defined. We suggest to use modified Hooft definition tensor. Finally, parts computed new equilibrium equations obtained. Numerical values masses, $D$-terms, various mean square radii also computed.
منابع مشابه
Resonant excitations of the 't Hooft-Polyakov monopole.
The spherically symmetric magnetic monopole in an SU(2) gauge theory coupled to a massless Higgs field is shown to possess an infinite number of resonances or quasinormal modes. These modes are eigenfunctions of the isospin 1 perturbation equations with complex eigenvalues, E(n)=omega(n)-igamma(n), satisfying the outgoing radiation condition. For n--> infinity, their frequencies omega(n) approa...
متن کاملScheme for Building a 't Hooft-Polyakov Monopole.
We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry phase. We show that this Berry phase is the path ordered exponential of the smooth SU(2) 't Hooft-Polyakov monopole. We further show that, by adjusting a pote...
متن کاملMass of a quantum ’t Hooft-Polyakov monopole
The quantum mechanical mass of ’t Hooft-Polyakov monopoles in the fourdimensional Georgi-Glashow is calculated non-perturbatively using lattice Monte Carlo simulations. This is done by imposing twisted boundary conditions that ensure there is one unit of magnetic charge on the lattice, and measuring the free energy difference between this ensemble and the vacuum. In the weak-coupling limit, the...
متن کاملNumerical and asymptotic analysis of the ’ t Hooft - Polyakov magnetic monopole
A high precision numerical analysis of the static, spherically symmetric SU (2) magnetic monopole equations is carried out. Using multi-shooting and multi-domain spectral methods , the mass of the monopole is obtained rather precisely as a function of β = M H /M W for a large β-interval (M H and M W denote the mass of the Higgs and gauge field respectively). The numerical results necessitated t...
متن کاملInteraction Energy of ‘t Hooft-Polyakov Monopoles
The dependence of the energies of axially symmetric monopoles of magnetic charges 2 and 3, on the Higgs self-interaction coupling constant, is studied numerically. Comparing the energy per unit topological charge of the charge-2 monopole with the energy of the spherically symmetric charge-1 monopole, we confirm that there is only a repulsive phase in the interaction energy between like monopoles
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.107.055015