一种自对偶理论的规范不变形式及其量子化

对于一种新提出的自对偶场与规范场耦合的拉氏理论,本文给出相应的单上闭链,即Wess-Zumino项,构造了这种理论的规范不变的形式。利用正则量子化方法并通过选取适当的规范固定条件,证明了这规范不变的形式等价于原来的规范非不变的形式。此外,利用Batalin-Fradkin-Vilkovisky量子化方法,进一步指出这种等价性与规范固定条件的选择是无关的。 关键词：     

1+1维非线性σ模型的BRST变换的等价性和Ward恒等式

在依据Dirac约束规范理论和作推广后的条件下,导出了规范生成元,推导出了1+1维O(3)非线性σ模型的一般条件(β≠0)下的BRST变换,给出了其BRST变换与Dirac规范变换的等价关系,得到了鬼场的新的一般对易关系,且其一般参数β为零时就回到通常的鬼场的对易关系.并由规范生成元导出了BRST荷,进而完成了此模型的一种BRST量子化.还在此基础上进一步导出了此系统的Green函数生成泛函、连通Green函数生成泛函和正规顶角生成泛函,获得了3种不同的Ward恒等式     

自对偶场规范理论的路径积分光锥量子化

对一种规范形式的自对偶场拉氏理论,采用光锥量子化的泛函积分形式,给出了明显体现自对偶性约束的S矩阵元.     

S=1/2铁磁理论海森堡模型的随机量子化处理

对S=1/2的海森堡铁磁模型,构造了适当的拉格朗日函数,采用玻色量子化条件,用随机量子化方法计算了它的温度格林函数,得到了和其它方法同样的结果。 关键词：     

自对偶场与规范场相互作用理论的Faddeev－Jackiw量子化

本文采用Ｆａｄｄｅｅｖ－Ｊａｃｋｉｗ量子化方法，讨论了二维时空中一种自对偶场与规范场的相互作用理论．通过与Ｄｉｒａｃ方法的比较，建立了这两种方法的等价性     

自对偶场与规范场相互作用理论的Faddeev-Jackiw量子化

本文采用Faddeev-Jackiw量子化方法,讨论了二维时空中一种自对偶场与规范场的相互作用理论.通过与Dirac方法的比较,建立了这两种方法的等价性.     

一强耦合Toy Model β函数的单圈计算

本文利用背景场量子化方法对一具有SU(3)对称性的强耦合Toy Model的β函数进行了单圈计算.在低能情况下,β函数的极限与Appelquist-Carrazone定理相符.     

关于量子口袋动力学

将ＭＩＴ边条件用于运动和变形中的口袋，讨论了口袋的动力学：包括变动中口袋内的单夸克和单胶子波函数；夸克－胶子场的量子化和由夸克－胶子系统推动的口袋运动的动力学及其量子化，发现：变动中的口袋内胶子场为符合ＭＩＴ边条件必须包含纵场成份：夸克数算符和胶子数算符成为非厄密的；口袋作为一个整体的动力学类似于强子场论的动力学，例如仍可沿用强子场论中的自由强子传播子而将强子内部的夸克－胶子结构反映到顶点的非定域     

QED中相互作用场的量子化

提出在QED中利用自由场的量子化条件和场方程,可以全面解决独立和非独立的相互作用场中￠(x),Aμ(x)的量子化问题.证明了:(1)当外规范场(x)≠0时,￠(x)与Aμ(x)相互独立,它与常规的场量子化方法一致.(2)当(x)=0时,￠(x)与Aμ(x)不再相互独立,常规的量子化方法不再适用,而本文提出的方法继续有效.并以1+1维QED作为实例.     

正则形式的SU（N）规范理论的约束关联动力学（I）关联Green函数的运动方程

在关联动力学思想框架内，运用生成泛函技术，在时性规范和正则量子化形式下，建立起ＳＵ（Ｎ）规范理论的约束关联动力学的完整体系，得到了关联Ｇｒｅｅｎ函数的运动方程组系列．     

ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge

The results of a two-loop calculation in the Feynman gauge of both the DGLAP and the ERBL evolution kernels for transversely polarized distributions are presented. The structure of these evolution kernels is discussed in detail. In addition, the effect of the two-loop evolution on the distribution amplitude of a twist-2 transversely polarized meson is explored.     

CPT-violating lagrangian formalisms

Two lagrangian formalisms with CPT violation without introducing special kernels are presented. The first one is based on a causal lagrangian while the second one is in the general context of gauge theories.     

WARD IDENTITIES AND BETHE-SALPETER EQUATIONS AND THE ELECTROMAGNETIC TRANSITION ELEMENTS OF MESONS AND BARYONS

By using Ward Identities,the relations between the kernels of the mesonic andbaryonic Bethe-Salpeter equation and their transition matrix elements of the electriccurrent are obtained.These relations are the constraints for the assumptions underly-ing the discussion of the equations and the transition matrix elements.These constraintsguarantee the conservation of the electomagnetic current.When the contribution ofthe straton loop diagrams is neglected the kernels of the transition matrix elementsof the electromagnetic current can be computed,from the kernels of B-S equation byusing the retations given by Ward Identities.Under the potential assumption for thekernels of the equation,expressions of the kernels of the transition matrix elements areobtanied.The transition matrix elements of the electomagnetic current can be computedby using the kernels of the equation and the solved wave functions.     

Study of the gluon propagator in the axial gauge

It is shown that a non-linear integral equation for the gluon propagator in the axial gauge (Baker et al.) can be simplified considerably. A comparison is made with an approximate equation for the gluon propagator in the Landau gauge (Mandelstam). Both equations have polynomial kernels where the argument is the divisor of the internal and external momenta. A solution which behaves as a double pole for low momenta remains consistent.     

Covariant quantization of gauge fields without Gribov ambiguity

Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ? · A = 0 is imposed.     

Constrained quantisation and θ-angles II

Certain aspects of the quantisation of 2D Yang-Mills theory are analysed with a new constrained quantisation technique, which quantises classical symplectic reduction. To apply this new method, it is necessary to take the gauge group as a Hilbert Lie group, and use the Wiener measure on a certain completion of the gauge group. The physical Hilbert space, the Hamiltonian and the Wilson loop observables for 2D Yang-Mills with a semisimple compact structure group are explicitly constructed using this technique. A new theory of θ-angle, not particular to 2D, emerges naturally. An interesting relation between Fock space coherent states and heat kernels on compact Lie groups is also found. All computations are explicit and simple in the sense that all results originate from the fundamental properties of Wiener measure. An example of SO(3) Yang-Mills is given. The possibility and difficulties of generalising our computations to higher dimensions by utilising the Levy measure (which generalises the Wiener measure) is briefly discussed.     

Algebraic theory of the chemical potential and the condition of reactive equilibrium

Under the assumption that the time evolution of an infinite system in thermodynamical equilibrium commutes with a closed, connected proper subgroup of the full gauge group (reflecting the particle structure of the system), it is shown that the chemical potentials satisfy conditions of reactive equilibrium. In addition, it arises as a direct consequence of the compactness of the gauge group that the stoichiometric coefficients are integers.     

Green functions in a super self-dual Yang-Mills background

In euclidean supersymmetric theories of chiral superfields and vector superfields coupled to a super-self-dual Yang-Mills background, we define Green functions for the Laplace-type differential operators which are obtained from the quadratic part of the action. These Green functions are expressed in terms of the Green function on the space of right chiral superfields, and an explicit expression for the right chiral Green function in the fundamental representation of an SU(n) gauge group is presented using the supersymmetric version of the ADHM formalism. The superfield kernels associated with the Laplace-type operators are used to obtain the one-loop quantum corrections to the super-self-dual Yang-Mills action, and also to provide a superfield version of the super-index theorems for the components of chiral superfields in a self-dual background.     

一种锰铜压阻测量新方法

 简单分析了几种常用的恒流供电锰铜压阻测量方法，并对这些测试方法的特点和不足进行了讨论。最后介绍一种利用数字示波器进行高保真高精度测量的方法，利用此法不仅提高了压力测量的精度，并且把小阻值锰铜压力计的测量范围向低端扩展到0.17 GPa。     

The Fokker-Planck equations in lattice gauge theories

The stochastic quantization in lattice gauge theories (LGT) is discussed by using Langevin equations and Fokker-Planck equations. It is shown that the evolution equations in the stochastic process reduce to the Schwinger-Dyson equation when the lattice system reaches equilibrium.