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However,in at early work of Dolan and Jackiw, after the analytic continuation ofthe imaginary time thermal propagator, the result was not the 2 × 2 matrix thermalpropagator in the real time formalisms, but only the 1-1 component of the matrix,which caused singularities like higher order δ function's.

然而在Dolan和Jackiw的工作中，由虚时热传播子解析延拓得到的结果不是实时方法中的二阶矩阵形式的热传播子，而只是其中的1-1矩阵元，从而会导致象高阶δ函数这样的奇异性，本文指出，这个结果是来源于一个隐含的假设，即认为实时方法的背景时空是一个明氏时空。

The principal propagator of the feast after the Conquest was Anselm, the nephew of St.

主要传播的盛宴后，征服了安瑟伦的侄子圣安瑟伦。

Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for oneway wave equation is proposed by using the asymptotic expansion of singlesquareroot operator.

不同于常规广义屏传播算子的推导中使用散射理论，本文利用单平方根算子的渐近展开，推导出了单程波方程广义屏传播算子的高阶表达式。

In studying the linear response of the dressed quark propagator in the presence of the variable external field, we derive a general expression for the vacuum susceptibility, based on the two-point external field formula in the Quantum Chromodynamical sum rule. The expressions we have derived for the calculation of vacuum susceptibility are model independent. Then we use the expressions to calculate the renormalised axial vector, vector and tensor vacuum susceptibilities.

接下来在研究夸克传播子在外场中的线性响应时，我们利用QCD求和规则两点外场公式推导出了一般的计算真空磁化率的公式（以变化的轴矢量外场为例），我们这里推导出的真空磁化率的计算公式是模型无关的。

By calculating the current-current propagator of the model G/H=SU(2)_L×SU(2)_R/SU(2), it is found that the pure gauge fields on coset space contribute only a perimeter law factor which has no influence on confinement properties of the system.

具体计算了陪集G/H=SU(2)_L×SU(2)_R/JU(2)模型的流-流传播子，发现陪集空间纯规范场只提供一个线度律因子，不影响物理系统的禁闭性质。

In the minimal coupling model of the electron and photon electromagnetic interaction,we have a precise calculation on the differential cross section of Compton scattering with electron renormalized chain propagator,and obtain the accurate result.

采用电子与光子电磁相互作用最小耦合模型，对电子重整化链图传播下Compton散射微分截面作了严格解析计算，获得精确理论结果；并将该计算结果与电子树图和重整化单圈图传播下Compton散射微分截面作对比分析，获得了有关辐射修正的重要信息。

The one-dimensional time-dependent Schrdinger equation was numerically solved with the symmetric splitting of the short-time exponential propagator and the fast Fourier transformation, and influence of intensity and pulse with on ionization of linear multi-ation molecular ion in two-color laser fields was researched.

利用短时指数传播子对称分割法和快速傅里叶变换技术，数值求解了一维含时Schrodinger方程，探讨了双色激光场中激光的基波和谐波强度之间的不同配比以及脉宽对线性多原子分子离子电离的影响。

Each object in the dependency network is a Propagator and a Propagator may have 0 or more dependent Propagators.

每一个依赖网络中的对象是一个传播者和传播者可能有0个或更多依赖传播者。

Using the wave equation prestack depth migration on SEGEAGE 2_D salt dome model as an example, the twoorder generalized screen propagator increases 30% calculation work relative to the conventional generalized screen propagator.

以SEGEAGE二维盐丘模型数据的波动方程叠前深度偏移为例，二阶广义屏传播算子相对于常规广义屏传播算子增加了30%的计算量。

Adopting Lorentz-invariant coupling model of neutron-antineutron and neutral meson strong interaction, we have physical analysis and accurate calculation on the neutron and antineutron to two neutral meson renormalization chain diagram propagator, and acquire the theoretical result; furthermore, after application of it to the physical process analysis and cross-section evaluation in this reaction , the differential cross-section of which is given. Moreover, through the comparison among this calculation and those scenarios: neutron-antineutron tree diagram and renormalization chain diagram propagator contribution, some important information about radiative correction was obtained.

采用中子-反中子与中性介子强相互作用的Lorentz不变耦合模型，对中子反中子重整化链图传播子作了有关物理分析及其严格解析计算，获得精确理论计算结果；进而将此结果用于中子反中子反应生成两个中性介子反应的物理过程分析及其截面的计算研究中，并精确计算出中子反中子重整化链图传播下中子反中子反应反应微分截面；最后还将此计算结果与中子反中子树图和重整化单圈链图传播下该反应微分截面作了对比分析，获得了有相关辐射修正的重要信息。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。