从幺正性和解析性考察量子场论的红外发散

本文从S矩阵幺正性和解析性要求的角度,考察了量子场论中红外发散问题.指出QED范围内在α的任何阶,任一泡泡图虚部的红外发散应该在此泡泡图按Landau-Cutkosky规则得出的切割泡泡图小集内相互对消.其次从散射振同解析性的基本假定和广义光学定理概念出发,对"弹性朝前散射"幺正性的普遍表达式引伸出有物理实际内涵,并得出QED中判断某过程存在红外发散与否的一般准则.最后再以π(q²)的泡泡图在q²平面上解析性随光子质量λ的变化,图示性地说明其中红外发散是如何对消的.此外简短最后讨论了推广到QCD时的困难和问题.     

有限温度下无质量ψ^3理论中角度红外发散的正规化

讨论了无质量标量场ψ＾３理论三圈真空图中的角度红外发散以及它的维数正规化方案，并给出了它在Ｄ维空间的解析表达式。     

100Sn核墓态性质的微观研究

用相对论平均场理论和非相对论平均场理论计算了双幻核¹⁰⁰Sn的结合能,核物质分布半径,中子分布半径和质子分布半径等,并对这两种理论计算结果进行了比较和讨论.这是对¹⁰⁰Sn核的第一个微观计算.     

有限温度下无质量φ3理论中角度红外发散的正规化

讨论了无质量标量场3理论三圈真空图中的角度红外发散以及它的维数正规化方案,并给出了它在D维空间的解析表达式.     

原子运动和场模结构对原子动力学特性的影响

研究了双光子Jaynes-Cummings(J-C)模型中原子的动力学特性,讨论了在不同初态下,原子运动和场模结构对体系中原子反转的演化特性及原子偶极矩k阶压缩的影响.研究结果表明,原子的动力学特性不仅决定于原子和场的初态参量,而且通过时间因子g^Θ(t)=2^-1gt-(4_p)^-1sin(2_pgt)决定于原子的运动速度与场模结构参量.     

用电子散射对S核和Si核同位素的进一步研究

用相对论平均场计算了^26,28,30,32S和^22,24,26,28Si的结合能, 均方根半径, 质子皮厚度, 单粒子能级等. 两套参数TM2和NL-SH的计算结果与实验值比较符合. 用平均场与相对论Eikonal近似结合计算出³²S和²⁸Si的形状因子和微分截面的结果, 与实验值也符合得较好. 进一步研究了S和Si的同位素链的基本性质和电子散射, 讨论了电子散射的电荷形状因子对电荷密度变化的敏感性. 电荷形状因子在下一代电子--不稳定原子核对撞机上可以测量, 这将能精确测量不稳定核的电荷半径和电荷密度分布, 本文计算的结果可供未来实验参考.     

低温高压下的Na5Eu(WO4)4的发光和晶体场参数

用低温金刚石对顶砧高压显微光谱系统在20—300K低温和0—10GPa高压范围内研究了白钨矿型化学计量的基质发光晶体四钨酸铕钠Na₅Eu(WO₄)₄中Eu³⁺的发光.确定了Eu³⁺荧光谱线和能级在低温下的压力移动率.它随温度变化,表明温度和压力对Eu³⁺谱线作用不是独立无关的.按晶体场理论简化方法推导了能级的晶体场参数表达式,并按实验数据拟合出在不同低温下晶体场参数随压力的移     

FeSiF66H2O晶体的基态能级和零场分裂参量

由单晶的中子衍射方法得到FeS_iF₆6H₂O的晶体结构,这种晶体结构可以用S_iF^6-和Fe(H₂O)⁺⁺两个离子来描述,而局域三角对称的Fe(H₂O)⁺⁺离子反映了这种晶体的主要光谱性质利用不可约张量的理论,构成了晶体场和自旋轨道相互作用哈密顿完全对角化矩阵因此,由完全对角化的晶体场和自旋轨道相互作用哈密顿矩阵和电子顺磁共振的理论公式来求出晶体FeS_iF₆6H₂O中Fe²⁺离子的电子顺磁共振零场分裂参量D和Fa并研究了低自旋³L态对电子顺磁共振(EPR)零场分裂参量的贡献结果显示低自旋³L态对电子顺磁共振的零场分裂参量的贡献是较强的理论计算的结果与实验值是相符的.     

用电子散射研究丰质子核的质子晕结构

理论和实验结果都表明¹⁷F的第一激发态有质子晕存在.用相对论平均场理论和Eikonal近似研究了质子晕核¹⁷F的第一激发态的电子弹性散射过程. 计算了¹⁷F的第一激发态的电荷形状因子,并与¹⁶O和¹⁹F的结果进行了对比和讨论.结果显示质子晕的存在会使中等转移动量的电荷形状因子产生明显的变化,并且使低转移动量的电荷形状因子趋于降低.这说明电子散射对质子晕的存在是非常敏感的,表明可以用电子散射对奇特核的质子晕结构进行更精细的研究.     

新核素271110及其α衰变链的理论研究

用自洽的相对论平均场模型研究了核²⁷¹110及其α衰变链核的结构.理论的α衰变能与实验数据符合.理论的核寿命也与实验数据比较接近.预言了未知核素²⁷⁵112的性质,并讨论了质子数Z=108附近的形变壳效应.     

高温下夸克场真空图中的红外发散

用热传播子的实时形式对高温条件下夸克(忽略质量)场三圈真空图进行了详细地计算,找出了其中和费米–狄拉克统计因子有关的红外发散积分的类型,并对这种发散积分进行了正规化,进一步把真空图中的红外发散全部孤立出来了.     

有限温度下胶子场三圈真空图中的红外发散

用热传播子的实时形式对有限温度下胶子场的三圈真空图进行了详细的计算，在维数正规化方案下把真空图中的红外发散全部孤立出来了.     

Infrared Divergences of Three-Loop Vacuum Graghs of Gluon Field at Finite Temperature

The kinds of infrared divergent integrals in three-loop vacuum graghs of gluon field at finite temperature are pointed out and their regularization is discussed. All of the infrared divergences in three-loop vacuum graghs of gluon field are isolated.     

IR renormalization of general effective actions and Hawking flux in 2D gravity theories

The infrared problem of the effective action in 2D is discussed in the framework of the covariant perturbation theory. The divergences are regularized by a mass and the leading term is evaluated up to the third order of perturbation theory. A summation scheme is proposed which isolates the divergences from the finite part of the series and results in a single term. The latter turns out to be equivalent to the coupling to a certain classical external field. This suggests renormalization by factorization. PACS 4.60.-m; 4.60.Kz; 4.70.Dy     

Finite Temperature Dimensional Regularization to Three-Loop Vacuum Graphs of Massless QED in Arbitrary Gauge

The dimensional regularization is applied to three-loop vacuum graphs in massless QED to evaluate temperature-dependent ultraviolet divergences and infrared divergences in arbitrary covariant gauge. They both are shown to be absent due to cancellations among themselves, and the cancellations are gauge-independent although the individual divergences are gauge-dependent.     

One-loop approximation of Møller scattering in generalized Krein-space quantization

It has been shown that the negative-norm states necessarily appear in a covariant quantization of the free minimally coupled scalar field in de Sitter spacetime. In this processes ultraviolet and infrared divergences have been automatically eliminated. A natural renormalization of the one-loop interacting quantum field in Minkowski spacetime (λφ ⁴) has been achieved through the consideration of the negative-norm states defined in Krein space. It has been shown that the combination of quantum field theory in Krein space together with consideration of quantum metric fluctuation, results in quantum field theory without any divergences. Pursuing this approach, we express Wick’s theorem and calculate Møller scattering in the one-loop approximation in generalized Krein space. The mathematical consequence of this method is the disappearance of the ultraviolet divergence in the one-loop approximation.     

Real and virtual infrared behaviour in Yang-Mills theory

We have calculated the leading infrared divergences, up to fourth order, from both virtual and from real soft gluon corrections to massive quark scattering in an external colourless potential. In the combined corrections, the infrared divergences cancel, as expected. The form of the correction is very simple, and can be expressed in terms of the effective coupling constant of the pure Yang-Mills theory.     

Endemic infrared divergences in QED3 at finite temperature

We demonstrate that massless QED in three dimensions contains endemic infrared divergences. It is argued that these divergences do not affect observables; furthermore, it is possible to choose a gauge that renders the theory finite.     

Equation of state of gluon plasma from a fundamental modular region

Despite considerable practical success in dealing with the gluon plasma, finite-temperature perturbation theory suffers at the fundamental level from infrared divergences discovered by Linde. However, if gauge or Gribov copies are properly eliminated from the physical state space, infrared modes are strongly suppressed. We describe the gluon plasma in zeroth order as a gas of free quasiparticles with a temperature-independent dispersion relation of Gribov type, E(k)=k(2)sqrt[+M4 / k(2)], that results from the reduction of the physical state space. The effective mass M2 / k controls infrared divergences and allows finite calculable corrections. The equation of state of this gas is calculated and compared with numerical lattice data.     

One-loop renormalisation of superfield Yang-Mills theories

We calculate the one-loop ultraviolet and infrared divergences in superfield Yang-Mills theories to fourth order in the gauge field. The ultraviolet divergences require a non-linear field renormalisation, and graphs with external ghost fields show that a non-linear renormalisation of the gauge-fixing function is also needed. These observations are confirmed by calculations incorporating matter fields, which are used to extend the result to all orders for the special case of SU(2). On the other hand the infrared divergences, which occur in general gauges, are apparently impossible to remove in any acceptable way.