Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often...Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often makes the analysis of the underlying nonlinear equations rather challenging since the governing action functional assumes an indefinite form.In this work,developing a constrained variational technique,We establish an existence theorem for the dyon solitons in a Skyrme model coupled with SO(3)-gauge fields,formulated by Brihaye,Kleihaus,and Tchrakian.These solutions carry unit monopole and Skyrme charges.展开更多
Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and m...Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and magnetic charges, called dyons, which are useful in modeling elementary particles. Mathematically, the existence of dyons presents interesting variational partial differential equation problems, subject to topological constraints. This article is a survey on recent progress in the study of dyons.展开更多
The energy-momentum distributions of Einstein＇s simplest static geometrical model for an isotropic and homogeneous universe are evaluated. For this purpose, Einstein, Bergmann-Thomson, Landau-Lifshitz （LL）, Moller ...The energy-momentum distributions of Einstein＇s simplest static geometrical model for an isotropic and homogeneous universe are evaluated. For this purpose, Einstein, Bergmann-Thomson, Landau-Lifshitz （LL）, Moller and Papapetrou energy-momentum complexes are used in general relativity. While Einstein and Bergmann-Thomson complexes give exactly the same results, LL and Papapetrou energy-momentum complexes do not provide the same energy densities. The Moller energy-momentum density is found to be zero everywhere in Einstein＇s universe. Also, several spacetimes are the limiting cases considered here.展开更多
We investigate the phenomenon of pair production of massive scalar particles with magnetic charge near the horizon of a magnetized dyonic Reissner-Nordstrom black hole.The intrinsic symmetry between the electric and m...We investigate the phenomenon of pair production of massive scalar particles with magnetic charge near the horizon of a magnetized dyonic Reissner-Nordstrom black hole.The intrinsic symmetry between the electric and magnetic quantities in the Einstein-Maxwell equations suggests that the pair can be generated through Hawking radiation and the Schwinger effect,provided that the Dirac quantization condition is satisfied.展开更多
The energy spectra of a bound system of charge fermion and Abelian dyon with electriccharge Z_d<Z_d^c at total angular momentum j≥|q|+1/2 are compared with those of the hydro-gen-like atoms. The matrix elements of...The energy spectra of a bound system of charge fermion and Abelian dyon with electriccharge Z_d<Z_d^c at total angular momentum j≥|q|+1/2 are compared with those of the hydro-gen-like atoms. The matrix elements of the △j=0 parity-violating electric dipole transitionsand nonvanishing electric dipole moments are discussed and a possible new approach to thesearch for dyons in bound conditions is proposed.展开更多
Ⅰ. INTRODUCTION As is well-known, topological defects of various types may have been created by vacuum phase transitions in the early universe. The type of defects depends on the topology of vacuum manifold. In parti...Ⅰ. INTRODUCTION As is well-known, topological defects of various types may have been created by vacuum phase transitions in the early universe. The type of defects depends on the topology of vacuum manifold. In particular, monopoles are formed when the homotopy group π<sub>2</sub> （G/H）is nontrivial. The monopoles formed as a result of a gauge symmetry breaking are similar to ele-展开更多
The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In th...The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In the nonrelativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering M = M(r). Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for M = M(r, θ).展开更多
基金Supported by Natural Science fund of Henan Province(162300410084)the Key Research Fund under grant of Department Education of Henan Province(16A110019)
文摘Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often makes the analysis of the underlying nonlinear equations rather challenging since the governing action functional assumes an indefinite form.In this work,developing a constrained variational technique,We establish an existence theorem for the dyon solitons in a Skyrme model coupled with SO(3)-gauge fields,formulated by Brihaye,Kleihaus,and Tchrakian.These solutions carry unit monopole and Skyrme charges.
文摘Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and magnetic charges, called dyons, which are useful in modeling elementary particles. Mathematically, the existence of dyons presents interesting variational partial differential equation problems, subject to topological constraints. This article is a survey on recent progress in the study of dyons.
文摘The energy-momentum distributions of Einstein＇s simplest static geometrical model for an isotropic and homogeneous universe are evaluated. For this purpose, Einstein, Bergmann-Thomson, Landau-Lifshitz （LL）, Moller and Papapetrou energy-momentum complexes are used in general relativity. While Einstein and Bergmann-Thomson complexes give exactly the same results, LL and Papapetrou energy-momentum complexes do not provide the same energy densities. The Moller energy-momentum density is found to be zero everywhere in Einstein＇s universe. Also, several spacetimes are the limiting cases considered here.
文摘We investigate the phenomenon of pair production of massive scalar particles with magnetic charge near the horizon of a magnetized dyonic Reissner-Nordstrom black hole.The intrinsic symmetry between the electric and magnetic quantities in the Einstein-Maxwell equations suggests that the pair can be generated through Hawking radiation and the Schwinger effect,provided that the Dirac quantization condition is satisfied.
基金Project supported in part by the National Natural Science Foundation of China and by Shanxi Natural Science Foundation.
文摘The energy spectra of a bound system of charge fermion and Abelian dyon with electriccharge Z_d<Z_d^c at total angular momentum j≥|q|+1/2 are compared with those of the hydro-gen-like atoms. The matrix elements of the △j=0 parity-violating electric dipole transitionsand nonvanishing electric dipole moments are discussed and a possible new approach to thesearch for dyons in bound conditions is proposed.
基金Project supported by the National Natural Science Foundation of China
文摘Ⅰ. INTRODUCTION As is well-known, topological defects of various types may have been created by vacuum phase transitions in the early universe. The type of defects depends on the topology of vacuum manifold. In particular, monopoles are formed when the homotopy group π<sub>2</sub> （G/H）is nontrivial. The monopoles formed as a result of a gauge symmetry breaking are similar to ele-
基金the Coordenacao de Aperfei,coamento de Pessoal de Nivel Superior—Brasil(CAPES)—Finance Code 001
文摘The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In the nonrelativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering M = M(r). Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for M = M(r, θ).
