SU(3)轻子模型与轻子质量差的动力学产生

在本文中,我们讨论了一种SU（3）轻子模型,在此模型中左手和右手轻子具有平等的地位,并给出sin²θw=1/4。为了减少Higgs粒子和Yukawa耦合常数的数目,我们还研究了由动力学自发破坏产生轻子质量差的可能性。通过有效势的计算（直到两圈图）,得出:复合Goldstone粒子仅当余下的Yukawa耦合常数位于一确定的小范围之内时才能形成。由此并得出相应的重轻子质量为130GeV。     

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(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(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。     

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.     

关于SU(2)瞬子方程的一点注记

近来,四维欧氏空间E~4中的SU(2)瞬子解,即SU(2)无源规范场方程的具有有限作用量的自对偶或反自对偶解,引起了人们很大的兴趣.从数学上看,这是一组二阶非线性偏微分方程(无源的杨-Mills方程)的带有拓扑示性数(第二陈类或Pontrjgin类,又叫做SU(2)对偶荷或瞬子数)的孤子解.从物理上看,它对于研究非Abel规范理论的真空的结构以及真空隧道效应有极密切的关系,并且可能与微扰论的高阶行为有关.     

质子-中子相互作用玻色子模型SU(3)算法与简单应用

质子-中子相互作用玻色子模型(简称IBM-2)具有很好的壳模型微观基础,是描述中重质量偶偶核结构的标准模型之一.对比早期建立在弱耦合U(5)基底的NPBOS算法,本文介绍基于弱耦合SU(3)基底求解IBM-2模型哈密顿量的新算法结构,通过举例典型相互作用项在SU(3)基底下矩阵元说明如何利用SU(3)群代数技术求解IB...     

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。     

(2+1)维SU(2)四费米子耦合理论的Ward-Takahashi恒等式和质量谱

本文利用含复合场的Ward-Takahashi恒等式研究了(2+1)维SU(2)四费米子耦合的理论.在SU(2)手征对称性既有明显破缺又有动力学破缺时,得到了动力学所生成的费米子质量和束缚态的谱性质,并讨论了矢量流和轴矢流的性质.结果表明:束缚态π_α获得了质量并得到轴矢流部分守恒的结论;当费米子的流质量较小时,Goldberger-Treiman关系近似成立.     

DOES THE RUBAKOV EFFECT EXIST IN AN SU(2) MODEL

In an SU(2) spontaneously broken gauge theory with a Higgs triplet, the mass effect of an iosspin 1/2 fermion on the fernlion-nlonopole bound states is discussed. It is shown that when the direct coupling betrveen fermion and Higgs field approaches zero, but the Dirac mass remalns finiteness, the necessary condition of the fermion-monopole bound state cannot be satisfied. This result means that the Rubakov effect is absent for SU(2) monopole because of the Dirac mass.     

耦合常数小于1时SU(2)格点规范理论的质量隙及β函数计算

通过改变格点规范理论的作用量,我们把Monte Carlo计算的“窗口”移到了耦合常数小于1的区域。这就提供了在较弱耦合下作Monte Carlo计算的另一种途径。在3.9≤β≤4.7区域内,在10⁴格点上,我们计算了SU(2)规范的重整化群β函数及质量间隙,观察到类似于Wilson作用量的标度行为,估算出M≈(3.9±1.0)σ^1/2。 关键词：     

THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit is made.In the range 1.3≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.     

THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY

We present a variational calculation of C=+1 and C=－1 glueball masses in 2+1 dimensional SU(3) lattice gauge theory using a Hamiltonian in which the ground state is exactly known.In the range 0<1/g²≤6,we obtain good scaling behaviour am₊=36.1g² and am_－=5.98g².     

AN SU(3) SYMMETRY IN THE TRIBARYON SYSTEM

The possibility that the tribaryons including ³He and ³H belong to an SU(3) 35 dimensional irreducible representation is suggested.We calculate the wave functions and the branching ration of the 35-plet of the tribaryons.The mass relations of the tribaryons in multiplet are obtained.The possible tribaryon states are predicted.     

THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY

By combining Monte Carlo method and variational method,we calculate the mass gap of SU(2) lattice gauge theory in 18*18 lattice of 2+1 dimensions by means of the icosaheral subgroup (Y120) using a hamiltonian of which the ground state is exactly known.In the range 0<1/g²,we obtain the results which are in good agreement with analytical calculation of SU(2) group.The scaling behaviour of mass gap am=2.3g² is confirmed.     

THE PHASE TRANSITION FROM THE "ROTATION" TO VIBRATION SPECTRA IN THE LIPKIN SU(2) MODEL

The collective monopole excitation spectra of the Lipkin SU(2) model aresolveaexactly in the truncated monopole phonon representation and also approximately in the continuous variable representation. The transition from the "rotation" to vibration spectra for lowly-lying exclted states with the increase of the particle number in the upper level and the disappearance of the monopole "deformation" with the increase of the excitation energy are exhibited. The origin of these phase transitions is explained and the shape transition of real nuclei with the number of valence nucleons i s briefly discussed.     

喷淋吸收过程模型及实验研究

开式循环吸收式热泵是用于HAT循环烟气水回收的新型技术手段.本文以喷淋吸收器为对象,对应用氰化钙溶液的吸收过程进行了研究.首先通过理论建模预测了吸收过程的温度及浓度分布,并且就温度及浓度等参数的影响进行了分析;其次对喷淋吸收过程进行了实验研究并与冷却水喷淋减湿进行对照,结果表明要达到相同的吸收效果,冷却水流量要多于溶液流量5倍以上.     

PHASE STRUCTURE OF THE SU(2)-SO(3) LATTICE SYSTEM IN AN IMPROVED VARIATIONAL APPROACH

An improved trial action in the variational approach of the lattice gauge field theory is in-troduced to acquire better lower bound for the convexity Inequality and used to calculate the phase structure of the SU(2)-SO(3) pure gauge system. The improvement is seen in comparing the old and new variational results with that by the Monte Carlo simulation.     

FOUR-FERMION SU(N)HYPERCOLOR CONDENSATES AND THEIR MASS SCALES

It is conjectured and shown by means of the screening Casimir effective couplings among fer-mions that,the four-fermivn condensates<(ff)²> formed through the SU(N).hypercolor gauge interac-tions,in geneial,may always have two forming paths which respectively correspond to different mass scales, and only for some special SU(N) representations of the fermions f the condensates have one mass scale or no four-fermion condensate could be formed.