CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

In this paper the lattice current-current propagator is calcdlated and the influence of coset pure gauge fields of an abelian chiral group G=U₁×U₁⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion in lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current current propagator which has no influence on confinement properties of the system. When subgroup H is U_s, the coset puregauge fields have no influence on wnfinement properties of the system either.     

CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF AN ABELIAN CHIRAL GROUP

In this paper the lattice current-current propagator is calculated and the influence of coset pure gauge fields of an Abelian chiral group G=U₁×U⁵ on confinement properties of a quark system is discussed by virtue of the Wilson's criterion of lattice gauge theory. When subgroup H is U₁, the coset pure gauge fields only contribute a perimeter law factor to the current-current propagator which has no influence on confinement properties of the system. When subgroup H is U⁵, the coset pure gauge fields also have no influence on confinement properties of the system.     

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

In this paper we construct the lattice formulation of the pure gauge fields in a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a fourdimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the quark system by calculating latt-ice current-current propagztor when the coset pure gauge fields are retained manifest1y.     

LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE

In this paper we construct a lattice formulation of the pure gauge fields on a coset space in the cases of a group G with non-trivial topological property and of a chiral group G, and present a local gauge invariant action of a quark system on a four-dimensional Euclidean space lattice, which has the continuum limit as usual. For non-chiral group with trivial topological property, it is shown that the coset pure gauge fields have no influence on the confinement properties of the confinement properties of the quark system by calculating lattice current-current propagator when the coset pure gauge fields remain manifest.     

BJORKEN-JOHNSON-LOW TECHNIQUE AND PERTURBATION STUDY ON CHIRAL ANOMALY IN ABELIAN COSET PURE GAUGE FIELD THEORY

The perturbation theory in coset pure gauge field theory is studied for the first time in this paper.By using the Bjorken-Johnson-Low technique and calculating the Schwinger term in related commutators,the anomalous Ward identity in Abelian coset pure gauge field theory is derived,which is consistent with the non-perturbative calculation.     

关于非阿贝耳规范群的对偶荷问题——一个对单磁荷的讨论

从规范场的积分定义出发,应用一个类似于在紧致流形上建立起来的微分几何定理——Gauss-Bonnet定理——的公式得到了普遍的规范荷与对偶荷的共轭关系。电子荷与单磁荷就是这种共轭关系的一例。当规范群为SO(3),含有U(1)群作为其不变子群时,无需引入任何关于奇异弦概念或任何自发破缺对称性的机制,我们自然地得到’t Hooft的单磁荷解。     

非阿贝耳规范场的类粒子解

1.我们在文献[1—3]中,指出了一种求非阿贝耳规范场某些特定类型解的方法。在本文中我们指出此方法可以得到非阿贝耳规范场的类粒子解。我们的讨论是把此方法推广到N维空间具有O_N对称的非阿贝耳规范场,然后讨论O_N对称的非阿贝耳规范场的类粒子解。     

不可易规范场的对偶荷

本文讨论了不可易SU(2)规范场的各种规范不变物理量——电荷、对偶荷(磁荷)、电磁场以及有质量矢粒子场的表达式与关系,特别是对偶荷(磁荷)与电荷算符同位旋方向的大范围拓扑性质的关系。     

CN REALIZATION OF THE CHIRAL SYMMETRY IN THE LATTICE GAUGE THEORY CONTAINING THE U(I) CHIRAL GAUGE FIELD

We investigate the lattice gauge theory with a gauge group UxV(1) where U is a non-Abelian group and V(1) is a chiral Abelian group.In the strong coupling approximation for the U gauge field we find that the V(1) chiral symmetry is realized through parity doublets of composite fermions for strong V(1) coupling and that it is spontaneousely broken through a techni color-like mechanism for weak V(1) coupling.     

不可易规范场的规范不变守恒流

不可易规范场F~(μν)与费密子的拉氏函数给定如下:式中。这里,场强F~(μν)流j~μ是伴随空间矢量,X是产生子的表示矩阵。矢积与标积是伴随空间的。希腊字母为时空指标,为普通空间旋量、同位旋空间表示矩阵X的作用对象。在无穷小规范变换下,     

GAUGE CONDITIONS AND THE RENORMALIZABILITY OF A GENERALIZED GAUGE TIiEORY CONSISTING OF SEVERAL ABELIAN AND NON-ABELIAN SUB-GROUPS

We discuss generalized gauge conditions and the renormalizability of a generalized gauge theory, which contains finite numbers of Abe-Zian and non-Abelian sub-groups. The isomorphism between gauge groups before and after renormalization is demonstrated.     

THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD

In this paper,the general transformation of non-abelian gauge field is derived from the in variance reguirement of the effective lagrangian function.It is shown that when the group parameter θ(x) is the product of the anti-commuting ghost field and an infinitesimal number anticommuting ξ which is independent of the component indices space,the B.R.S.transformation is obtained.When θ(x) is equal to the ghost field C(x) times an infinitesimal tensor ξ_i which is commuting with respect to the upper index b,we get another transformation.Both transformations are proved to be equivalent.     

GEOMETRICAL DESCRIPTION OF DECOMPOSIBILITY OF A NON-ABELIAN GAUGE POTENTIAL

The decomposibility of a non-abelian gauge potential is discussed from the point of view of the Cartan geometry with zero-torson. By means of the commutation relation between the γ-matriees and the generators of the Lorentz group, we obtain the expression of gauge potential for the related "isotopic space".     

空间羣算符的矩阵元

本文首先通过对波失星直接乘积的分析指出,如果 ^*K″∈^*K?^*K′,则波矢峯G_k″可以有下面四种情况:A)G_k同G_k′,是G_k″的子峯,B)G_k=G_k′=G_k″,C)G_k″=G_s, D)G_s是G_k″的子峯。根据上述四种情况,分别考虑积分A=μ″^i″(k″)|f_μⁱ(k)|f_μ′^i′(k′)>的简约。并且证明,对所有四种情况,积分A的值均可由短阵U的矩阵元统一地表达出来。矩阵U是使可约表示Г′简约的转换矩阵,对四种情况,可约表示Г′分别是:A)(Г_kⁱ?Г_k′^i′)^(?),B)Гⁱ?Г_k′^i′,C)Г_k^i(s)?Г_k′^i′(s),D)(Г_k^i(s)?Г_k′^i′(s))^(?)。最后,利用准投影算符的方法,对矩阵U进行了计算,导出空间峯Wigner-Eckart定理的表式。     

THE VACUUM OF LATTICE GAUGE THEORY WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING*

The vacuum structure of lattice gauge theory with femicns is studied by the variational method.The fermion condensate <ψψ> is given as a function of l/g².     

手性介质的光学物理性质及其研究进展

文章总结了手性介质的概念、分类及其光学物理性质，综述了近年来手性介质在非线光学领域以及其他方面的研究进展。     

手性环状碳纳米管的电子结构及磁化特性

基于石墨平面π电子的紧束缚模型,导出了手性(chiral)环状碳纳米管(TCNTs)在磁场中的电子结构,从而对TCNTs量子特性和磁化规律进行了较深入研究.第Ⅰ,Ⅱ类TCNTs在磁场中存在金属—半导体的连续转变.计算分析表明:在T=0K时,第Ⅰ,Ⅱ类TCNTs的磁化强度随磁通量Φ呈线性周期性变化(以磁通量子Φ₀=h/e为周期),并且磁化强度对手性角θ、管口半径r,以及温度T极为敏感,但与环半径R无关.手性TCNTs的磁化强度比椅形或锯齿形TCNTs的磁化强度强很多;而第Ⅲ类TCNTs 关键词： 手性环状碳纳米管 电子结构 磁化特性     

THE GAUGE INVARIANT WESS-ZUMINO ACTION FUNCTIONAL,CHIRAL ANOMALIES AND TOPOLOGY

The gauge invariant Wess-Zumino action functional in 2n dimensional space is obtained by properly constructing the manifestly gauge invariant (2n+1)-forms which satisfy the Abelian anomalous Ward identity in 2n+2 dimensional space. Apart from its simplicity, directness, the construction clearlu embodies the connections between the gauge invariant Wess-Zumino action functional, cniral anomalies and topology.     

规范理论中反常的拓扑意义与规范群的?ech-de Rham上同调

本文分析了规范群上同调的拓扑障碍。指出规范群上同调的上边缘算子相当于?ech的差映射算子。采用逐级分区的方法克服以往常用的d^-1算子的含混性,而且将各阶上闭链与指数Z相联系,澄清了规范群上闭链的整体拓扑意义。 关键词：     

热阴极电离真空计的线性理论

从繁流放电理论可直接导出热阴极电离真空计的特性方程,证明通常的概念即在热计的电子流i_e一定时其离子流i₊与压强P成正比的关系,只在离子流甚小于电子流时才能成立。在被测气体的压强较高时,离子流和压强之间呈现下列指数关系: i₊/i_e=1-e^{(-(K₁P-K₂P2))}(K₁及K₂为常数),且随着压强的增长而逐步趋于饱和。进一步的推导则得出,当容许测量误差为1％时,热计的线性上限(临界压强)为P_c=0.22/Г,此处Г为热计的灵敏度。这种理论可以容易地解释近年来一些实验工作者例如Nottingham,Schultz,Goto,Hinzpeter等的实验结果。此外我们还使用了特殊设计的“封闭式”电离计作实验,得到的结果和理论预计十分符合。这种电离计本身则可用作10^-7～0.6托的宽程量具。 关键词：