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本文扼要地阐明了关于规范势Bμ可分解和具有内部结构的基本观点,指出Bμ可分解为bμ和Γμ两部分,bμ满足伴随交换,它对应于某种具有质量的矢量粒子,Γμ满足规范势的变换,它可由更基本的场组成,在SU(2)规范理论中,这种基本场是Higgs场φ(x),由此导出了N个磁单极运动体系存在时的电动力学的基本方程,由于这一理论自身包含了磁单极的拓朴守恒流,由此给出磁荷量子化条件,并证明了φ(x)的零点的世界线对应磁单极的运动轨迹,磁单极的电动力学由φ(x)零点的电动力学描述,文中还得到了对应于N个磁单极运动体系的SU(2)规范场方程的无源解,并将吴-杨势推广到N个磁单极的运动体系。 相似文献
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By generalizing the topological current of Abelian Chern Simons (CS) vortices, we present a topological tensor current of CS p-branes based on the φ-mapping topological current theory. It is revealed that CS p-branes are located at the isolated zeros of the vector field φ(x), and the topological structure of CS p-branes is characterized by the winding number of the φ-mappings. Furthermore, the Nambu-Goto action and the equation of motion for multi CS p-branes are obtained. 相似文献
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The Topological Structure of the SU(2) Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect 下载免费PDF全文
In the light of the decomposition of the SU(2) gauge potential for I = 1/2, we obtain the SU(2) Chern-Simons current over S4, i.e. the vortex current in the effective field for the four-dimensional quantum Hall effect. Similar to the vortex excitations in the two-dimensional quantum Hall effect (2D FQH) which are generated from the zero points of the complex scalar field, in the 4D FQH, we show that the SU(2) Chern-Simons vortices are generated from the zero points of the two-component wave functions ψ, and their topological charges are quantized in terms of the Hopf indices and Brouwer degrees of Ф-mapping under the condition that the zero points of field ψ are regular points. 相似文献
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从无挠嘉当几何的观点出发讨论了非阿贝尔规范势的分解.借助γ-矩阵和洛仑兹群生成元的对易关系,得到相应的“同位旋空间”的规范势的表达式. 相似文献
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本文从解析性和么正性出发,对具有共振行为的π-π散射分波振幅的形式作了普遍的讨论。理论中包含了一个标志与Breit-Wigner共振形式偏离的函数F(l)I)(v),当F(l)I)(v)=1时,振幅恰好具有Breit-Wigner共振形式。具体计算表明,这个函数与1有一定的偏离。利用ND-1方法、交叉对称性、ρ与f0的Bootstrap近似,将所得到的振幅与-90的共振解。计算中考虑了非弹性过程和负半轴色散积分的贡献。计算结果得到,对于J=1,I=1态,vR=6.4,Г1=0.12;对于J=2,I=0态,v(R2)=20,Г2=0.016。这相当于mρ=762MeV,mf0=1283MeV,ρ的半宽度约为45MeV。它们与目前的实验数据是很好符合的。 相似文献