Photon—Dyon Scattering in Non-Abelian Gauge Theory

We study the scattering of a non-Abelian dyon and photons. We demonstrate thattwo photons are necessary for Compton scattering of a non-Abelian dyon, throughS-matrix expansion. One of these two photons is associated with electric four-potentialand is ordinary, while the other is associated with magnetic four-potentialand is highly energetic and responsible for scattering of magnetic charge of thenon-Abelian dyon. We also study dyon—photon, dyon—dyon, and dyon—antidyonscattering and the self-energy of the dyon and both photons in non-Abeliangauge theories.     

Pauli Equation for Non-Abelian Dyons in Moduli Space

Undertaking the study of behaviour of an extended dyon moving in the generalized electromagnetic field of another non-Abelian dyon in moduli space, Dirac's equation has been solved for energy eigenvalues and it has been shown that spin momentum of an interacting non-Abelian dyon behaves as extra energy source. Introducing suitable spinors, the Pauli equation for a spin-1/2 non-Abelian dyon moving in the field of another non-Abelian dyon has been solved in moduli space and it has been shown that ad hoc introduction of spin in the system of two non-Abelian dyons perceptibly modifies the energy eigenvalues and eigenfunctions of bound states of the system.     

FERMIONS IN SU(5) COLORLESS DYON FIELD

The Prasad-Sommerfield-like, colorless anl finite-mass dyon anolytic solution in SU(5) ground unified model is found. It is the only physical dyon solution so far. In the SU(5) model the Dirac equation of fermions in the dyon field is derived concretely, and the mathematic method for solving the equation is pointed and discussed.     

耦合SU(5) EYMH系统的静态双荷黑洞

研究耦合ＳＵ（５）Ｅｉｎｓｔｅｉｎ－Ｙａｎｇ－Ｍｉｌｌｓ－Ｈｉｇｇｓ（ＥＹＭＨ）系统。得到了场方程的一类静态球对称Ｒｅｉｓｓｎｅｒ－Ｎｏｒｄｓｔｒｏｍ（Ｒ－Ｎ）型解，它代表具有ＳＵ（５）双荷子（磁荷为±3/(2e)）的静态黑洞。 关键词：     

Topological Dyons

Using a two potential approach, dyon solutions have been found in the temporal and non-temporal gauges for a non-Abelian theory. Both the charges, electric and magnetic, of the temporal dyon solution are topological, while for the non-temporal case both charges are partially topological.     

Spectrum of the supersymmetric Liouville theory

The problem of the monopole infinite moments of inertia, and the related degeneracies in the dyon spectrum of a grand unified theory in the absence of light fermions is considered. A careful application to gauge theories of the method of collective coordinates is given in two different classes of gauges. A basic defect in the earlier treatments of the subject is pointed out. It is shown that the commonly accepted method, while giving reasonable qualitative results for the dyon spectrum in the SO(3) model, fails completely when applied to grand unified theories. The reason is simply that there is a contribution to the monopole moments of inertia that has so far been overlooked. This contribution is of the same order of magnitude as the already known one. The sum of the two contributions vanishes for these moments of inertia that have been thought to be infinite. This means that, in a grand unified theory without light fermions, dyon states transforming as definite color representations (chromodyons) do not exist if we believe this lowest-order analysis (which is almost all what one can do to show their existence). It is shown that applying the Bohr-Sommerfeld method to the classical dyon solutions leads to the same result.     

Study of Relativistic Corrections due to Spin–Orbit Interaction of Fermion–Dyon System Under SU(2) Gauge?Potential in Moduli Space

Investigating energy eigen values of fermion–dyon system under the fundamental representation of SU(2) isospin group, it is shown that the equation contains an extra term, which depicts interaction of spin moment with a vector field. The study of fermion–dyon interaction in non-abelian gauge theory has also been undertaken and the splitting of energy level of the system has been carried out.     

荷电费密子和阿贝耳双子的束缚态波函数及其应用

本文获得荷电费密子与阿贝耳双子束缚系统在双子电荷Z_dd^c和系统总角动量j≥/q/+1/2条件下的束缚态波函数和能谱。计算了该系统在外电磁场中的跃迁矩阵元和确定了相应的选择定则。发现存在与通常类氢原子不同的、破坏宇称守恒的△j=0的电偶极跃迁。 关键词：     

Spectrum (super-) symmetries of particles in a Coulomb potential

The Schrödinger equation for a spin-0 particle in the field of a dyon is obtained by dimensional reduction of the four-dimensional harmonic oscillator; the reduction is effected by imposing an equivariance condition on the wave functions of the latter system. This geometrical construction allows for a simple derivation of the SO(4, 2) spectrum symmetry of the dyon system. A supermultiplet of one $\text{spin}\text{-}\text{1}\text{2}$ and two spin-0 particles in a Coulomb potential is demonstrated to possess an N = 2 conformal supersymmetry through a generalization of the same method. The states and wave functions for these systems can be obtained from the representation theory of the corresponding symmetry algebras. A particular case for which this approach provides a complete group theoretical analysis is that of the Pauli equation for a $\text{spin}\text{-}\text{1}\text{2}$ particle in the field of a dyon.     

On Witten's charge formula

Witten's formula for the dyon charge in the presence of a CP violating surface term is derived by a canonical argument.     

Gravitating Julia-Zee dyon and the cosmological term

The relation between the spherically symmetric Julia-Zee dyon of the coupled Yang-Mills-Higgs system and the cosmological term is studied in curved space-time. It is pointed out that the cosmological term comes out of the Higgs field.     

Existence of Static BPS Monopoles and Dyons in Arbitrary (4p – 1)-Dimensional Spaces

We prove the existence and uniqueness of a static and radially symmetric BPS monopole of unit topological charge in an arbitrary (4p – 1)-dimensional space descended from the generalized Yang–Mills theory in 4p dimensions and formulated and presented in a recent study of Radu and Tchrakian. This monopole solution also gives rise to an electrically and magnetically charged soliton, called dyon, in the same spacetime setting through the well-known Julia–Zee correspondence. Our method is based on a dynamical shooting approach depending on two shooting parameters which provides an effective framework for constructing the BPS monopole and dyon solutions in general dimensions.     

费密子与Dirac双子系统的耦合问题

除了库仑耦合和Kazama-杨振宁耦合——кqβ∑·r/2Mr³外,本文同时讨论了费密子Dirac双子应当存在的另一耦合iкzz_de²γ·r/2Mr³。结果表明,对所有角动量态,费密子径向波函数具有物理上合理的原点渐近行为。定性地分析了束缚态的必要条件。发现,对于双子情形,当额外磁矩к→0时,存在费密子束缚态是可能的;但对于磁单极情形,当к→0时,必不存在费密子束缚态。 关键词：     

Charge screening in a two potential theory of electromagnetism

By surrounding an Abelian Dyon with an axion-like domain wall we calculate the screening effects generated by the domain wall on the dyon degrees of freedom.     

The motion of an isoscalar particle in a dyon field

The motion of an isoscalar particle in a non-abelian dyon field is solved. We get the energy levels and eigenfunctions. The compound system has half odd integer quantum number for its angular momentum. Related problems will be discussed in another paper.     

Hidden symmetries and accidental degeneracy for a spin-1/2 particle in the field of a dyon

We show that the recently discovered hidden symmetries for the motion of a spin-1/2 particle in the field of a dyon completely account for the accidental degeneracy of the spectrum.     

Vortex condensation in the Chern-Simons Higgs model: An existence theorem

It is shown that there is a critical value of the Chern-Simons coupling parameter so that, below the value, there exists self-dual doubly periodic vortex solutions, and, above the value, the vortices are absent. Solutions of such a nature indicate the existence of dyon condensates carrying quantized electric and magnetic charges.