SU(mn) SU(m)×SU(n)单粒子母分系数

本文利用置换群CG系数计算了五个粒子以内的所有SU(mn) SU(m)×SU(n)单粒子母分系数.     

SU(4)⊙SU(2)⊙SU(1)统一模型

本文提出一种SU(4)⊙SU(2)⊙SU(1)统一模型. 在此模型中, 层子和轻子放于同一个多重态中, 所以它们有耦合, 但这种耦合不会导致质子衰变, 只对高能散射有效应. 此模型预言了有两种中性中间玻色子, 还算得了sin²θ_w=0.25, 并可使中微子有合理的质量.     

SU(mn)SU(m)×SU(n)单粒子母分系数

本文利用置换群CG系数计算了五个粒子以内的所有SU(mn)SU(m)×SU(n)单粒子母分系数。     

Spontaneous SU(2) symmetry violation in the SU(2) L × SU(2) R × SU(4) electroweak model

A new approach to electroweak (EW) composite scalars is developed starting from the fundamental gauge interaction on high scale. The latter is assumed to have the group structure SU(2) _L × SU(2) _R × SU(4), where SU(4) is the Pati-Salam color-lepton group. The topological EW vacuum filled by instantons is explicitly constructed and the resulting equations for fermion masses exhibit spontaneous SU(2) flavor symmetry violation with possibility of very large mass ratios.     

Structure of σ model in [1, 1] representation of SU(2) ⊗ SU(2) group

The spontaneous breakdown of symmetry of the-model in the [1, 1] representation of SU(2) SU(2) group is investigated. It is shown that the spontaneous breakdown is realized in all cases of squared mass ² in mass term in the Lagrangian ( ²>0, ²=0, ²<0), unlike the-model in [1/2, 1/2] representation, in which the spontaneous breakdown only for the case ²<0 manifests itself. Further, different but equivalent methods of obtaining the nonlinear realization for pions in the frame of an extended in such a way-model are demonstrated. Finally, it is sketched, that the obtained results can be generalized to all [N/2,N/2] representations of SU(2) SU(2) chiral group.Presented at the Symposium on Hadron-Hadron Scattering at High Energies, Liblice, Czechoslovakia, June 16–21, 1975.On leave of absence from theDept. of Theoretical Physics, Comenius University, Bratislava, Czechoslovakia.     

SU(4)×SU(4)禁闭弱作用复合模型

本文对超色群为半单群的亚夸克模型结构作了讨论, 具体构造了一个SU(4)×SU(4)禁闭弱作用复合模型, 模型中给出了三代轻质量的复合粒子.     

Chiral SU(2)×SU(2) model with infrared quark confinement

An SU(2)×SU(2) chiral quark model describing the properties and interaction of pions and scalar and vector mesons is considered. The confinement of quarks is introduced in the model by means of an infrared cut-off in the one-loop quark diagrams. This cutoff gives rise to the elimination of the unphysical thresholds of the quark-antiquark pair production. The π-a ₁ transitions are taken into account. The model conserves all low-energy theorems. The masses of mesons and the widths of the decays ρ → 2π and σ → 2π are calculated.     

SU(4)⊕SU(2)⊕U(1)统一模型

本文提出一种SU(4)SU(2)U(1)统一模型。在此模型中,层子和轻子放于同一个多重态中,所以它们有耦合,但这种耦合不会导致质子衰变,只对高能散射有效应。此模型预言了有两种中性中间玻色子,还算得了sin~2θ_w=0.25,并可使中微子有合理的质量。     

SU(3) classification of p-wave ηπ and π systems

An exotic meson, the π₁(1400) with J ^PC = 1^{- +}, has been seen to decay into a p-wave ηπ system. If this decay conserves flavor SU(3), then it can be shown that this exotic meson must be a four-quark state ( qˉq + qˉq) belonging to a flavor ˉ10 representation of SU(3). In contrast, the π₁(1600) with a substantial decay mode into π is likely to be a member of a flavor octet. Received: 27 March 2002 / Accepted: 8 August 2002 / Published online: 10 December 2002 RID="b" ID="b"e-mail: klempt@iskp.uni-bonn.de Communicated by V. Vento     

Yukawa couplings in SU(3)×SU(2)×U(1)Y orbifold models

We analyze the Yukawa couplings of the first SU(3)×SU(2)×U(1)_Y orbifold models recently obtained. In these models the rank is naturally lowered due to the presence of a Fayet-Iliopoulos term associated with an “anomalous” U(1) in the four-dimensional theory. It is shown that the phenomenological viability of the models selects a favoured class of vacua. In particular, for the specific examples considered, some twisted fields with one moded oscillator acting, must acquire non-vanishing VEVs. However other possibilities may exist. We also find that all the baryon and lepton violating operators can be, in general, avoided in a completely natural way.     

Entanglement Conditions for Mixed SU(2) and SU(1, 1) Systems

We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1,?1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertainty relations for detecting entanglement. Furthermore, based on the complete reduction from SU(2) and SU(1,?1) systems to bosonic systems, we derive some entanglement conditions for two-mode systems. We also use the partial reduction to obtain some inequalities in the mixed SU(2) (or SU(1,?1)) and bosonic systems.     

SU(2)×SU(2)格点手征模型的进一步研究

本文利用变分─累积展开方法将SU(2)×SU(2)格点手征模型的自由能展开到第五级,分别用主值法和聚点法(accumulation point)确定变分参数,结果表明后者能得到与蒙特卡罗模拟更为一致的内能和比热曲线.     

SU(6)大统一模型

本文提出的SU(6)大统一模型, 能容纳现代(V－A)耦合的普通费米子和现代(V+A)耦合的异常费米子. 通过引进一种分立对称性, 使得SU(6)通过Higgs机制自发破缺时, 费米子能得到低质量. 本文还做到了利用简单的Higgs场及其真空期望值, 使异常费米子的质量比普通费米子的质量重. 得到的sin²θw在大统一点的值为3/8.     

SU(3)C×SU(2)I×U(1)Y Theory of Composite Leptons

Assuming Higgs Assuming coupling to be the only origin of parity non-conservation, an SU(3)_C×SU(2)_I×U(1)_Y theory of composite leptons is established in the Scheme of three generations and supersymmetry.     

SU(3)_C×SU(2)_I×U(1)_Y复合轻子理论

假定HiggsYukawa耦合是宇称不守恒的唯一来源，通过取三代并引进超对称性，从而建立了一个SU（3）C×SU（2）I×U（1）Y复合轻子理论。     

SU(23)大统一模型

本文构造了一个SU(23)大统一模型,并以中间统一标度M_A为输入计算了大统一标度M_G的一些可能的值.在本模型中,重子数B在规范场和Higgs部分均守恒,因此并无质子衰变发生.我们还对能量在M_A处的规范玻色子按规范群SU(3)_c×SU(3)_L×U(1)_Y进行了分类.     

A chiral SU(2)L⊗SU(2)R gauge model on the lattice

An explicitly chiral symmetric SU(2)_L⊗SU(2)_R model with a scalar doublet and a mirror pair of fermion doublets is investigated in lattice perturbation theory.