SYNTHESIS OF PERTURBATIVE AND NONPERTURBATIVE QUANTUM CHROMODYNAMICS

Hadronic structure in QCD has been analyzed by using the Fock state wavefunctions of hadrons defined by quantizing quantum chromodynaraics at equal time of the light-cone. They provide a unified approach to QCD phenomenology. We have presented a convenient method for operator product expansion in the external background fields and have obtained the distributior: amplitude moments values from QCD sum rule by introdution the condensate effect of quarks and gluons. These results are in agreement with the present data.     

QUANTUM CHROMODYNAMICS AS THE TRORY OF INTERACTIONS

Recent developmeht of testing QCD as the theory of strong interactions is reviewed. Emphasis is put on the success of perturbative QCD and the determination of the fundamental scale parameter scale parameter A. Recent development of heavy quarkonium physics is also reviewed from the point of view of QCD and the possibility that future heavy quarkonium experiments can provide further quantitative QCD tests is discussed.     

二维和三维大双极化子的稳定性

结合相对运动的近似波函数和修正的Lee(李政道)-Low-Pines变分法，研究了二维和三维大双极化子的稳定性.得到了临界耦合参数α_c和临界介电常数比η_c.与近来用完全不同的变分方法求得的结果相一致.还标定了在1/α,η平面上双极化子稳定存在的区域.结果显示，低维材料更有利于双极化子的形成. 关键词：     

WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS

The weak coupling approximate Schwinger-Dyson equation of the straton's pro-pagator in 4-dimensional QCD theory and the problem of the straton's confinement are discussed. It is proved that, when we choose Landaugauge, the obtained Sch-winger-Dyson integral equation of the straton's propagator can be transformed into a very simple form. Then we change it into a first order non-linear differential equation. It has two solutions: a confining solution and a solution that has no con-finement for the stratons. The effective potential in QCD is derived by functional method, and the ground-state energy difference between these two solutions is discussed. In our approximation, we calculate the vacuum graph to the 2-loop diagrams, We may conclude that stratons are not confined in our approximation.     

DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS

Dynamical symmetry breakings in quantum chromodynamics （QCD） are investigated by means of the renormalization-group equations and the Dyson equations. It is shown that: （1） The electromagnetic （and weak） interactions can not be neglected in studying those nonperturbative problems as dynamical symmetry breakings for type-A models in QCD. （2） When the electromagnetic interactions between stratons are taken into account in the weak coupling approximation, dynamical symmetry breakings in QCD occur for many realistic models （type-A models） with QCD asymptotically free. This conclusion may hold beyond the weak coupling approximation of the electromagnetic interactions if there can still be a self-consistent solution of Johnson-Baker-Willey in quantum electrodynamics or β_e has an UV-stable fixed point. e_∞≠0 （a simple zero of β_e） and e_∞is not too large.     

PARISI-SOURLAS CONFINEMENT MECHANISM OF QUANTUM CHROMODYNAMICS

Using Parisi and Sourlas dimensional reduction, four-dimensional quantum chromodynamics is reduced to a two-dimensional principal chiral model by suitable superspace embedding. The frame T^a cannot be regarded as a fixed one and the frame connection field \varω_μ(x) becomes a dynamical gauge field in two dimensions, giving rise to a confining potential. As a result of the original SU(3) Yang-Mills field obtains another SU(3) local symmetry and turns into SU(3)×SU(3) local symmetry－one group element as exp (iδ\varphi^aT^a) with fixed frame T^a, the other gauging the frame T^a.     

Ashkin-Teller量子链的玻色化形式及其新的临界点

运用连续极限和玻色化方法讨论了Ashkin-Teler量子链的临界点，验证了其他作者给出的临界条件，并预言了Ashkin-Teler量子链可能存在新的临界点 关键词：     

关于层子模型中的电磁形式因子与结构波函数的积分表示

虽然从B-S方程出发,用谐振子位势来讨论介子的质谱,可以得到较好的结果,但是当用这样得到的近似波函数来计算电磁形式因子时,却给出形式因子对类空的q²为复数。本文指出,出现上述不合理结果的原因,在于所得的近似波函数不具有正确的对P₀的解析性。为了保证这种解析性同时又使波函数保持协变形式,比较适当的方法是,利用戴逊证明的定理将波函数写成积分表示。另外,根据波函数在x=0点为有限的物理要求,我们还给出了积分表示中的谱函数所应满足的一些求和条件。     

时空泡沫结构与量子电动力学中发散的消除

时空的泡沫结构将在量子电动力学中产生新的顶角，它们正好可以抵消量子电动力学中三种最低阶的原始发散. 关键词：     

双窗函数方法及其在量子振荡频谱分析中的应用

对于形状比较复杂的费密面,普通的固体量子振荡频谱分析方法遇到了很大的困难,某些问题的研究工作(例如,Ⅳ—Ⅵ族化合物畸变相费密面的研究)因此而一度停顿。本文提出了一种双窗函数方法,成功地解决了Pb_1-xSn_xTe,SnTe等畸变相费密面的测绘问题,这种方法选用“强”、“弱”两种不同时窗函数,加在量子振荡信号上,分别进行频谱分析,从而最大限度地压低噪声水平,尽可能提高检测灵敏度的同时,又保证了较高的分辨率和较低的误差,对计算机模拟信号(由振幅不等的10个分量组成)的分析表明,最大频率误差不超过1％。 关键词：     

THE ELECTROMAGNETIC FORM FACTOR OF THE O- MESON IN THE STRATON MODEL

In the straton model,the wave functions of the 0^- meson can be obtained numerical-ly from the Wick rotated Bethe-Salpeter equation.The problem of comparing experi-ment with the mesonic electromagnetic form factor calculated by analytical continua-tion of the wave functions from the Euclidean space back to the Minkowski space isan unsolved problem.On the basis of analyzing the analytic property of the formfactor,we proved that by choosing a special reference system in which the photon isspace-like,one may calculate the physical space-like electromagnetic form factor dire-ctly from the Euclidean B-S wave functions of the meson in the Euclidean space.As an example,we calculated the electromagnetic form factor of the pseudoscalarmeson by using the wave functions corresponding various choices of parameters.Pre-liminary results show that the theoretical calculation may be in accordance with experi-ment by appropriately choosing the parameters.     

EV共聚物序列中的两种结构因素

系统描述了EV共聚物序列中两种结构因素对共聚物主链中亚甲基和次甲基¹³C NMR化学位移的贡献,将SCS方法与半经验方法结合起来,阐明了常数项δ_LE和δ₀的物理意义,提出了以聚乙烯链反式构象化学位移δ_t为基准计算上述亚甲基和次甲基化学位移的公式:δ_c=δ_t+Σn_iS_i+ΣP_jγ_j并在此基础上,讨论了聚乙烯,聚丙烯的特殊情况和乙丙共聚物的链结构.     

关于核子的同位旋矢量电磁结构

本文根据Sugawara和Kanazawa所证明的一个定理和Omnes关于渐近行为的研究,讨论了G_i(t)和Г_i(t)色散关系的減出问题。比较仔细地考虑了Г_i(t)和F_π(t)中远区奇异性的贡献,所得的结果可以同时很好地符合电形式因子和磁形式因子。其中Г_i(t)并满足Vick从πN实验分析中所提出的要求。计算结果还表明,核子的矢量总电荷和总磁矩绝大部分是由2π中间态贡献的,核子的核心点电荷和点磁矩     

在二维原子自洽场计算中的Gaussian函数展开方法

报告了在二维原子结构的自洽场计算中,单电子波函数向笛卡尔Gaussian函数展开的基本方法.推导了由s,p和d电子组成的闭壳层和开壳层电子组态的能量表达式,和二维的Hartree-Fock-Roothaan HFR方程,最后给出了二维原子自洽场计算的主要结果精度的讨论.     

二维氢原子的相对论修正

求解了二维氢原子的Ｄｉｒａｃ方程,得到了精确的相对论能级与波函数,并详细讨论了非相对论极限。     

量子浸渐近似定律两种表述的等价性

本文通过比较Ｂｅｒｒｙ和Ｂｏｒｎ－Ｆｏｃｋ关于量子浸渐近似定律的表述，表明两者等价，量子浸渐近似定律正确。     

THE GENERAL FORM OF THE DIVERGENT PART OF 1PI VERTEX GENERATING FUNCTIONAL IN QUANTUM GAUGE THEORIES

rn this paper, the Slavnov equations are solved presence of Niggs fields, where the gauge group is a general compact semi-simple Lie group. A general form of the dins gent paxt of 1PI vertex generating functional is ottained, which provides a fairly general theoretical basis to the proof of renormalizability of quantum gauge theories.     

TIME-DEPENDENT LANDAU SYSTEM AND NON-ADIABATIC BERRY PHASE IN TWO DIMENSIONS

By applying the time-independent unitary transformation, the time-dependent Landau system is transformed into a product of a time-independent Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. Both the invariant operator and the eigenstate are obtained. In the periodical time-dependent case, the non-adiabatic Berry's phase is also presented.     

ISING-GAUGE ISING-HIGGS SYSTEM IN TWO DIMENSIONS

A brief review for Refs.[1] and [2] is presented.Z₂-gauge and Z₂-Higgs action on 2-dimen-sional lattice is given in terms of standard procedures.     

量子力学相位因子

文章以电磁场为例说明规范场和相位因子的关系,说明相位因子何以是20世纪物理学的旋律之一,文章就目前文献或教材中流行着的一些量子力学相位概念作分析,指出必须区分清楚不可积相位和可积相位,文章还专门讨论了不可积相位的概念及其重要性。