SU(N)亚夸克大统一模型中的Complementarity

本文将Complementarity应用于SU(N)亚夸克大统一模型,对亚夸克填充的SU(N)反常相消和渐近自由的各种表示进行分析,得到了满足Complementarity且有物理意义的SU(N)亚夸克大统一模型的最简单的表示;并预言夸克和轻子的代数g_N≥4.     

SU(N)大统一前子模型中的手征性分析

本文我们将手征性要求和互补原理(Complementarity)应用于大统一前子模型中,寻找可能的模型,我们对大统一前子模型的基本要求是1)满足手征性要求;2)满足互补原理;3)至少描述三代夸克和轻子.我们主要讨论了手征性要求,得出满足这些条件的最小模型是SU(10)大统一前子模型,并对其作了详细讨论.     

禁闭弱作用亚夸克大统一理论

本文讨论了禁闭弱作用亚夸克大统一模型. 在合理的统一能标和禁闭标度条件下, 利用重整化群方法得到超色规范群SU(n)满足n≤3, 大统一规范群是SU(7). SU(8)和SO(14).     

手征–夸克耦合与双重子结构

运用SU(3)手征夸克模型,系统地研究了H,d*和d＇三个六夸克体系的结构,分析了SU(3)手征场和矢量耦合禁闭势等非微扰效应对三种六夸克态能量的影响.结果发现,SU(2)手征场的耦合,对形成六夸克态是有利的,但是扩大到SU(3)手征对称,则由于这些手征场的“云”,对六夸克系统形成束缚的双重子态起到了限制的作用,矢量耦合禁闭势有利于H的形成,而对d*则相反.     

手征SU(3)夸克模型的六夸克集团态的研究

用手征SU(3)夸克模型分析了(Os)6组态的六夸克态能量,结果表明手征SU(3)介子场可以对某些高奇异数的态提供较强的吸引作用,这为进一步讨论是否有可能存在窄宽度的六夸克态提供了有用的信息.     

大统一对禁闭弱作用规范模型的限制

本文基于两个条件:10¹⁴GeV≤M_u≤10¹⁹GeV,300GeV≤Λ_hc≤1TeV,得到在禁闭弱作用规范模型中SU(N)超色规范群满足N≤3;大统一规范群的可能候选者为:SU(N)N≥7,SU(N)×SU(N)N≥4,SO(14)和SO(18)。 关键词：     

满足Complementarity的SU(9)亚夸克大统一模型

本文建立了一个满足在黑格斯相和禁闭相之间的Complementarity原理的SU(9)亚夸克大统一模型,预言了四代夸克和轻子的存在,并且得到了合适的超色标度.     

满足互补原理的SO(10)×SU(4)手征前子模型

本文反MAC (Most Attractive Channel)规则推广到半单超色规范群情形,构造了满足互补原理的SO(10)×SU(4)手征前子模型.该模型给出唯一解,预言了4代夸克和轻子,没有例外粒子出现.本文引入了代规范群SU(2)_g讨论了不同代费米子质量简并性的破缺.     

大统一对手征前子模型的限制

本文由WNW条件^[1]出发,分析了大统一对禁闭弱作用手征前子模型的限制.我们发现超色群不能是SU(N)群及SO(M)群,而半单群SU(N)×SO(M)及SU(N)×SU(M)作为超色群是可行的.通过重整化群计算,得到在合理的能标10^{14GeV≤Λ_u≤1019GeV及300GeV≤Λ_MC≤1TeV下,可能的候选者是:G_MC=SU(3)×SO(5)及G_U≥SU(11);G_MC=SU(3)×SU(2)及G_U≥SU(12).}     

一个具有低复合标度满足互补原理的现实模型

本文构造了一个具有SU(3)×SO(5)超色群的现实手征三前子模型.这个模型具有低的超色能标和三代普通夸克轻子.模型满足互补原理的要求.     

SU(9) GRAND UNIFIED PREON MODEL SATISFYING COMPLEMENTARITY

We constructed an SU(9) grand unified preon model which satisfies the complementarity principle between Higgs phase and confining phase.The model ends up with the prediction of four generations of quarks and leptons,and an appropriate hypercolor scale.     

Study for Unified Preen Models

Two grand unified preon models with light quarks and leptons are presented.All these models have natural family structure at the composite level.One of them can give very low metacolor scale,Λ_MC～10⁴GeV.It is argued that the best choice for metacolor group is SU(4) and for unification group is SU(9).     

SU(8) grand unification

A grand unified gauge theory based on the group SU(8) is presented. The set of rules motivating the choice of SU(8) is given. The particle content of the theory suggests a natural embedding of a horizontal SU(3) symmetry in the SU(8) grand unified symmetry.     

An SU(8) grand unified model accommodating three generations with V - A coupling

According to the idea of the SU(7) grand unified theories, an SU(8) grand unified model accommodating three generations of light fermions with V-A coupling for the weak interactions is proposed. The Higgs mechanism of spontaneous breaking and the fermion mass matrices in this model are presented.     

Weak interactions of quasi nambu-goldstone fermions

We investigate the hypothesis that the observed weak interactions are the residual interactions of quasi Goldstone fermions. Left-handed quarks and leptons arise from the spontaneous symmetry breaking U(6) → U(4) × SU(2) in a supersymmetric theory. The simplest preon model realizing this breakdown leads, in the complementary picture, to the supersymmetric extension of the standard model of electroweak interactions. Furthermore, 't Hooft's anomaly conditions are satisfied with respect to the unbroken subgroup of the U(6) flavour symmetry and R-invariance. The preon model predicts the existence of a ninth chiral supermultiplet, the novino.     

POSSIBLE CANDIDATES FOR FINITE SUPERSYMMETRIC GRAND UNIFIED THEORIES

A realistic finite grand unified model has to accommodate at least three generations of ordinary fermions. When this criterion is imposed, we found that only few models of SU(N), SO(2N), SO (2N+1) and exceptional groups can survive as candidates for possible realistic finite supersymmetric grand unified models. All possible solutions are obtianed, but the SU(5) model is excluded.     

Grand unified theories in the framework of the SU(N) group

Due to the problem of flavour, the general SU(N) gauge group is considered as a candidate for grand unification. Starting from a set of general requirements, we find restrictions and conditions for the construction of grand unified theories within the framework of such a group. The allowed groups get restricted to SU(6), SU(7) and SU(8).     

Possible candidates for finite supersymmetric grand unified theories

A realistic finite grand unified model has to accomodate at least three generations of ordinary fermions. When this criterion is imposed, we found that only a few models of the SU(N), SO(2N), SO(2N+1) and exceptional groups can survive as candidates for possible realistic finite supersymmetric grand unified models. All possible solutions are obtained, but the SU(5) model is excluded.     

The grand unified axion not observable?

It is a characteristic of grand unified theories with an axion of the type suggested by Dine, Fischler and Srednicki that they predict a very small neutron electric dipole moment because the QCD θ vacuum parameter is suppressed. The minimal SU(5) axion model of Wise, Georgi and Glashow yields a cosmological baryon-to-photon ratio in the same order as that in the minimal SU(5) model with one 5 of Higgs, which is much smaller than required by astrophysics. More complicated grand unified axion models can avoid this problem.     

Grand unification of effective gauge theories

An effective non-renormalizable SU(3)×SU(2)×U(1) invariant gauge theory results at ordinary energies when superheavy fields are integrated out from a grand unified theory based on a simple gauge group G. The solutions of the second-order renormalization-group equations for the gauge coupling constants of the effective theory are examined. General formulae for the superheavy vector boson mass and for sin²θ near M_W are given in this approach to grand unification. The superheavy vector boson mass is plotted against the QCD scale parameter Λ for a certain set of grand unified models. Corrections to the prediction when the set of models is enlarged are discussed, and illustrated with examples from G≡SU(5) and O(10).