格点(1+1)维QCD中<ψψ>的变分研究

改进的哈密顿量对格点(1+1)维QCD中Wilson费米子真空凝聚<ψψ>做变分研究.结果不但与连续理论的预言值一致,而且几乎不依赖于Wilson参数r.对于改进的哈密顿量而言,么正变换算符中的三链项对<ψψ>的贡献是很重要的.     

格点(1 1)维QCD中<ψ>的变分研究

改进的哈密顿量对格点（1＋1）维QCD中Wilson费米子真空凝聚<ψψ>做变分研究．结果不但与连续理论的预言值一致,而且几乎不依赖于Wilson参数r．对于改进的哈密顿量而言,么正变换算符中的三链项对<ψψ>的贡献是很重要的     

用改进的哈密顿量计算1+1维格点QCD中矢量介子质量谱

用变分法计算1+1维格点QCD中矢量介子的质量谱Mv.验证了理论的预言:对带Wilson夸克的格点哈密顿量的改进能使有限格距所引起的误差明显减小.     

用改进的格点哈密顿量计算2+1维SU(3)胶球质量

应用改进的格点哈密顿量和保持连续极限的耦合集团展开方法计算了2+1维SU(3)0⁺和0^－胶球的质量.计算到三级近似,标度行为已经很好.与未改进的格点哈密顿量作的同样近似比较,改进的结果较快地进入标度区,而且标度性也较好.     

用改进的格点哈密顿量计算2+1维SU(2)规范场胶球质量

用改进的格点哈密顿量和截断本征方程法计算2+1维SU(2)规范场胶球质量,结果在广阔的耦合区内(1.0≤1/g²≤8.0)显示出极好的标度行为.     

用改进的格点哈密顿量计算1+2维U(1)规范场真空波函数

从格点U(1)规范场论中改进的哈密顿量出发,推导出截断本征方程.并对2+1维U(1)规范场真空波函数进行数值计算,验证了理论的预言:对格点哈密顿量进行改进能使真空波函数的标度行为明显地改善.     

用改进的格点哈密顿量计算2+1维U(1)规范场真空波函数

从格点U(I)规范场论中改进的哈密顿量出发,推导出截断本征方程.并对2十1维外1)规范场真空波函数进行数值计算,验证了理论的预言:对格点哈密顿量进行改进能使真空波函数的标度行为明显地改善.     

2+1维U(1)改进格点规范理论中0++胶球波函数的三阶结果

用改进的格点规范场哈密顿量和截断本征方程法计算2+1维U(1)规范场的0++胶球波函数，三阶结果比二阶结果的标度行为有了较大的改善.     

2维SU(NC)格点规范理论中矢量介子质量

用改进的格点哈密顿量和变分法,研究了2维SU(NC)规范场中矢量介子质量MV与夸克质量m和Wilson参数 的依赖关系．数值结果表明：对于NC =2、3、4、5、6、7, …,在标度窗口 内,MV/g与m的依赖关系近似为直线;但是矢量介子质量MV不明显依赖于Wilson参数 （这与夸克凝聚的情况不同）. 特别是,当 时, 本文的格点结果与Bhattacharya’s的连续理论强耦合相分析结果很好地一致, 而 的值十分接近Schwinger模型中的相应值.     

3维U(1)改进格点规范理论中胶球质量和胶球波函数

用改进的格点规范场哈密顿量和截断本征方程法计算2+1维U(1)规范场的胶球质量(质量隙)和胶球波函数,结果显示出较好的标度行为.     

On the thermodynamics of an ideal fermi gas on the lattice at finite density

We study the ideal gas of fermions on a lattice at finite density for both naive and Wilson fermions. Comparing the thermodynamical quantities thus calculated with the known results in the continuum theory, we are led to propose a modification of the naive form of the lattice action, which is same for both the naive and the Wilson fermions. The thermodynamical quantities, calculated by using this form, are shown to have the correct continuum limit.     

量子引力中曲率的激发

求出了Stelle可重整引力的量子Wilson圈的h阶首项,得到了矢量平移被定域曲率的激发量子化的结果,求得了非平坦背景下量子Mlson圈的泛函计算式.     

The quantum mechanics of the gauge-invariant O(2) Heisenberg model

The two-dimensional gauge-invariant O(2) Heisenberg (classical X-Y) model is discussed in terms of a Hamiltonian formulation on a one-dimensional spatial lattice with continuous “time”. Particular emphasis is placed on the spectrum of the model and the behaviour of the Wilson loop (which is relevant to the confinement properties). The entire energy spectrum as well as the eigenfunctions of the model are determined in a certain coupling regime by applying a WKB method suitable for periodic potentials.A tight binding (periodic Gaussian) approximation to the quantum Hamiltonian and its wave functional is introduced. The Wilson loop is explicitly calculated in terms of this approximation and is seen to be crucially influenced by the periodicity of the wave functional. The dominant contributions to be Wilson loop correspond to cross sections through the centres of vortices.     

Dependence of overlap topological charge density on Wilson mass parameter

In this paper,we analyze the dependence of the topological charge density from the overlap operator on the Wilson mass parameter in the overlap kernel by the symmetric multi-probing source(SMP) method.We observe that non-trivial topological objects are removed as the Wilson mass is increased.A comparison of topological charge density calculated by the SMP method using the fermionic definition with that of the gluonic definition by the Wilson flow method is shown.A matching procedure for these two methods is used.We find that there is a best match for topological charge density between the gluonic definition with varied Wilson flow time and the fermionic definition with varied Wilson mass.By using the matching procedure,the proper flow time of Wilson flow in the calculation of topological charge density can be estimated.As the lattice spacing a decreases,the proper flow time also decreases,as expected.     

Vector meson radiative decay in lattice QCD

The amplitude for radiative decay of vector mesons is calculated in quenched lattice quantum chromodynamics using the Wilson scheme for fermions. The calculated decay strengths are consistently smaller than experimentally measured values at all values of the quark mass.     

Influence of the interband transitions on the absorption spectrum of CsBr crystals containing colloids

The contribution of interband transitions to the optical absorption of Cs colloids in a CsBr crystal has been calculated by introducing the expression of Wilson and Butcher for the imaginary part of the dielectric constant of cesium into the standard Mie theory. The resulting absorption bands are smaller and much broader than those corresponding to the free-electron model. The dependence of the calculated band half-width on colloid radius is compared with experimental data. The agreement obtained is considerably better than that corresponding to the sole Drude contribution     

Evolution kernel for the dirac field

The evolution kernel for the free Dirac field is calculated using Wilson lattice fermions. We discuss the difficulties due to which this calculation has not been previously performed in continuum theory. The continuum limit is taken, and the complete energy eigenfunctions as well as the propagator are then evaluated in a new manner using the kernel.     

Identifying the Universal Part of TMDs

We attempt to identify a path layout in the definition of transverse-momentum-dependent T-odd parton distribution functions (TMD)s which combines features of both, initial- and final-state interactions, so that it remains universal despite the fact that the Wilson lines entering such TMDs change their orientation. The generic structure of the quark correlator for this path layout is calculated.     

Partition functions on the Euclidean plane with compact boundaries in conformal and non-conformal theories

In this paper we calculate the exact partition function for free bosons on the plane with lacunae. First the partition function for a plane with two spherical holes is calculated by matching exactly for the infinite set of Wilson coefficients in an effective world line theory and then performing the ensuing Gaussian integration. The partition is then re-calculated using conformal field theory techniques, and the equality of the two results is made manifest. It is then demonstrated that there is an exact correspondence between the Wilson coefficients (susceptibilities) in the effective field theory and the weights of the individual excitations of the closed string coherent state on the boundary. We calculate the partition function for the case of three holes where CFT techniques necessitate a closed form for the map from the corresponding closed string pants diagrams. Finally, it is shown that the Wilson coefficients for the case of quartic and higher order kernels, where standard CFT techniques are no longer applicable, can also be completely determined. These techniques can also be applied to the case of non-trivial central charges.     

Chiral Syqmetry Restoration in Lattice Gauge Theory

The pion mass& calculated starting from the strongly coupling effective Hamiltonian for Wilson fermions by using Green function method. The possibility of the chiral symmetry restoration at a critical quark maas is also investigated.