解析计算SM中电子混合链图传播下Compton 散射微分截面

采用电弱统一标准模型(SM), 对由参与电弱相互作用的各种混合圈构成的电子重整化链图传播子的构架方式作了详细分析, 并完成了有关解析计算, 进而获得了电子重整化链图传播子的解析计算结果. 作者又将此结果应用到Compton散射, 精确计算了电子混合链图传播下Compton散射微分截面的解析结果 . 此外, 作者还将计算结果与最低阶微分截面 和量子电动力学(QED)中电子链图传播下的Compton散射微分截面 做了具体的数值计算与对比分析, 发现 比 能更加精细的反应辐射修正效应.     

精确计算SM中混合链图传播下e■→f■反应截面

采用电弱统一标准模型（SM）,分析了由参与电弱相互作用的各种混合圈构成的光子γ,中间玻色子Zo重整化链图传播子的构架方式,并完成了相关解析计算,进而获得了γ,Z₀重整化混合圈链图传播子的解析计算结果.作者又将γ,Z₀混合圈链图传播子D_γ^{（m-chain）}（s）,D_Z^{（m-chain）}（s）和D_γZ^{（m-chain）}（s）应用到粒子反应e■→f■中,精确计算了e■→f■反应总截面σ_SM^（chain）.通过与LEP实验组的实验观测值的比较,发现本文理论计算结果比最低（树图）阶的结果与实验吻合更好.     

精确计算电子重整化链图传播下的Compton散射微分截面

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.此研究结果对精确描述Compton散射现象以及对电磁相互作用所呈现的复杂内部过程的深入探讨,都将从一个重要研究侧面给出理论计算研究方面某些可供借鉴与参考之处.     

标准模型中两类中性玻色子混合圈链图传播子的重整化及其e+e-→μ+μ-反应截面

采用电弱统一标准模型, 对光子γ和中间玻色子Z₀ 混合圈链图传播子的构架方式及其重整化问题作了详细分析与讨论, 并完成了有关解析计算, 获得了由参与电弱相互作用的各种混合圈构成的γ和Z₀的重整化链图传播子的解析计算结果. 此外, 我们还将此结果应用于高能物理中备受关注的一类轻子反应e⁺e^-→μ⁺μ^-中, 获得了在γ和Z₀所构架出的重整化混合圈链图传播中e⁺e^-→μ⁺μ^-反应截面的解析计算结果, 并将本文所获得的这一理论计算结果与实验观测值作了对比分析, 发现本文理论计算结果与实验观测值符合非常好, 并由此也获得了有关辐射修正的重要信息. 本文研究结果也可为探讨一般复杂传播子的理论研究与应用提供某些参考. 关键词： 标准模型 链图传播子 重整化 辐射修正     

Bhabha散射中的完整电弱效应与标准模型的完美性问题

本文在电弱统一标准模型(SM)的理论框架中,对Bhabha散射问题作了全新的理论分析与深入研究.在具体研究方法上采用了量子场论微扰理论中的一种全新计算模式——重整化链图传播子理论,并应用到Bhabha散射的计算研究中.在SM中,本文需要考虑Bhabha散射内部过程的完整电弱作用效应,为此应寻求出由光子γ和中间玻色子Z0构成的复杂混合圈链图重整化传播子,然后利用这类传播子计算出Bhabha散射中由混合圈链图传播子传递完整电弱作用下的反应截面.这一理论计算结果与实验值在实验观测误差范围内吻合较好.本文这一重要研究结果不但从另一个侧面证实了SM理论描述电弱作用下的粒子反应的精确性;而且也暗示SM理论应该是一个十分完美的理论,理论终极预言的且被学术界长期特别关注的希格斯"神秘粒子"最终被寻找到的可能性应该是十分大的.     

精确计算n-n重正化链图传播下n+n→２π0反应截面

采用中子n-反中子n与中性介子π⁰强相互作用的Lorentz不变耦合模型,对n-n重正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n+n→2π⁰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n-n重正化链图传播下n+n→2π⁰反应微分截面. 还将此计算结果与n-n树图和重正化单圈链图传播下n+n→2π⁰反应微分截面作了对比分析,获得了有关辐射修正的重要信息. 此结果对于深 关键词： Lorentz不变耦合模型 重正化链图传播子 微分截面 辐射修正     

Bhabha散射中的完整电弱效应与标准模型的完美性问题

本文在电弱统一标准模型(SM)的理论框架中, 对Bhabha散射问题作了全新的理论分析与深入研究.在具体研究方法上采用了量子场论微扰理论中的一种全新计算模式——重整化链图传播子理论, 并应用到Bhabha散射的计算研究中. 在SM中, 本文需要考虑Bhabha散射内部过程的完整电弱作用效应, 为此应寻求出由光子gamma 和中间玻色子Z_0构成的复杂混合圈链图重整化传播子, 然后利用这类传播子计算出Bhabha散射中由混合圈链图传播子传递完整电弱作用下的反应截面. 这一理论计算结果与实验值在实验观测误差范围内吻合较好. 本文这一重要研究结果不但从另一个侧面证实了SM理论描述电弱作用下的粒子反应的精确性; 而且也暗示SM理论应该是一个十分完美的理论, 理论终极预言的且被学术界长期特别关注的希格斯“神秘粒子”最终被寻找到的可能性应该是十分大的.     

ILC上e~+e~-对撞产生t~+t~-夸克对

本文结合国际直线对撞机(ILC)的实验讨论了e+e-湮灭产生t+t-对过程.在具体计算过程中,本文采用一种新的计算方式,即"混合链图传播子"修正下的反应截面,首先对QED中Dyson链图传播子理论在电弱统一标准模型(WS)中做了推广,获得WS中的光子、中间玻色子混合链图传播子,进而计算了γ,Z0混合链图修正下e+e-→t+t-反应总截面σchain,并与单圈修正下的总截面σloop和最低阶总截面σ0做了对比分析,发现在国际直线对撞机对撞能区,σchain对σloop和σ0的修正很大.此外,作者还结合国际直线对撞机的对撞亮度,讨论了每年可在ILC上产生t+t-对的事例数.     

W-S中含Fermi圈的光子链传播子及其 截面

研究电弱统一标准模型(W-S)里的电磁相互作用,传递相互作用的是 光子传播子,并对光子传播子里的“树图”以及出现轻子与夸克混合圈中的“链圈图”及其“链图”作了考察与分析,获得光子重整化链图传播子函数 “精确”解析计算结果. 利用这一结果,又对高能物理中备受关注的一类轻子反应： 作了有关研究,计算出在光子链图传播下的反应截面,并获得“精确”理论计算结果,同时还与实验结果作了对比分析,发现本文理论计算结果与实验吻合较好,获得了有关“辐射修正”的许多重要分析结果。     

W-S中含Fermi圈的光子链传播子及其e-e+→μ-μ+截面

研究电弱统一标准模型(W-S)里的电磁相互作用,传递相互作用的是γ,光子传播子,并对光子传播子里的"树图"以及出现轻子与夸克混合圈中的"链圈图"及其"链图"作了考察与分析,获得光子重整化链图传播予函数"精确"解析计算结果.利用这一结果,又对高能物理中备受关注的一类轻子反应:e-e →μ-μ 作了有关研究,计算出在光子链图传播下的反应截面,并获得"精确"理论计算结果,同时还与实验结果作了对比分析,发现本文理论计算结果与实验吻合较好,获得了有关"辐射修正"的许多重要分析结果.     

ILC上ee对撞产生tt夸克对

本文结合国际直线对撞机(ILC)的实验 讨论了 湮灭产生 对过程．在具体计算过程中,本文采用一种新的计算方式,即“混合链图传播子”修正下的反应截面,首先对QED中Dyson链图传播子理论在电弱统一标准模型中做了推广,获得WS中的光子、中间玻色子混合链图传播子,进而计算了 混合链图修正下 反应总截面 ,并与单圈修正下的总截面 和最低阶总截面 做了对比分析,发现在国际直线对撞机对撞能区, 对 和 的修正很大．此外,作者还结合国际直线对撞机的对撞亮度,讨论了每年可在ILC上产生 对的事例数．     

The nonlinear effects of quantum electrodynamics at high energies

In this paper we considere ⁺ e ^? scattering with intermediate photon-photon scattering as a possibility for getting information about the nonlinear effects of quantum electrodynamics (QED) at high energies. This process is a higher-order correction to double bremsstrahlung. However, these two processes have quite different behaviour with the photon-photon scattering angle. Here we calculate the unpolarized differential cross section of thee ⁺ e ^? scattering with intermediate γγ scattering and also the interference terms with the double bremsstrahlung. Moreover, we show that the sum of these two contributions predominates over the contribution of the double bremsstrahlung for sufficiently large scattering angles of the photons. This result enables us to extract the differential cross section of the γγ scattering. Through extrapolation to different kinematical conditions we can get the cross sections for nearly real photon-photon scattering, photon splitting and Delbrück scattering. As a quantitative example we use the result for a test of the electron propagator in a gauge-invariant way with the usual minimal interaction. We give also numerical examples of this test, which will improve the present values of the testing parameters.     

The polarization effect of a laser in multiphoton Compton scattering

The multiphoton Compton scattering in a high-intensity laser beam is studied by using the laser-dressed quantum electrodynamics(QED) method, which is a non-perturbative theory for the interaction between a plane electromagnetic field and a charged particle. In order to analyze in the real experimental condition, a Lorentz transformation for the cross section of this process is derived between the laboratory frame and the initial rest frame of electrons. The energy of the scattered photon is analyzed, as well as the cross sections for different laser intensities and polarizations and different electron velocities. The angular distribution of the emitted photon is investigated in a special velocity of the electron, in which for a fixed number of absorbed photons, the electron energy will not change after the scattering in the lab frame.We obtain the conclusion that higher laser intensities suppress few-laser-photon absorption and enhance more-laser-photon absorption. A comparison between different polarizations is also made, and we find that the linearly polarized laser is more suitable to generate nonlinear Compton scattering.     

Prüfung der Quantenelektrodynamik durch Compton-Streuung und Paarvernichtung

In view of the present experimental efforts, Compton scattering and pair annihilation in flight are analysed as purely electrodynamic processes to test quantum electrodynamics at small distances. After a short discussion of the introduction of the form factors we consider the possibility of a (partial) cancellation between elctrodynamic and nucleon structure effects. There is also the possibility of a partial cancellation of the non local effects in Compton scattering and wide angle bremsstrahlung because of the opposite action of spacelike and timelike form factor arguments. We calculate the Compton and the two photon pair annihilation cross sections with form factors and illustrate the result with several numerical diagrams. Two photon pair annihilation turns out to be especially favourable for a first test of quantum electrodynamics because there is no cancellation of possible non local effects and the necessary very high energy can be circumvented by a colliding beam experiment. With a 10% experimental error the planned colliding beam experiment at Stanford with 500 MeV could test the electron propagation function down to 0.6 · 10^?14cm. After that, Compton scattering can be used to investigate the electron propagation function also for time-like arguments.     

Quantum radiation reaction effects in multiphoton Compton scattering

Radiation reaction effects in the interaction of an electron and a strong laser field are investigated in the realm of quantum electrodynamics. We identify the quantum radiation reaction with the multiple photon recoils experienced by the laser-driven electron due to consecutive incoherent photon emissions. After determining a quantum radiation dominated regime, we demonstrate how in this regime quantum signatures of the radiation reaction strongly affect multiphoton Compton scattering spectra and that they could be measurable in principle with presently available laser technology.     

Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field

In the strong uniform magnetic field,the noncommutative plane(NCP) caused by the lowest Landau level (LLL) effect,and QED with NCP (QED-NCP) are studied.Being similar to the condensed matter theory of quantum Hall effect,an effective filling factor f(B) is introduced to characterize the possibility that the electrons stay on the LLL.The analytic and numerical results of the differential cross section for the process of backward Compton scattering in accelerator with unpolarized or polarized initial photons are calculated.The existing data of BL38B2 in Spring-8 have been analyzed roughly and compared with the numerical predictions primitively.We propose a precise measurement of the differential cross sections of backward Compton scattering in a strong perpendicular magnetic field.which may reveal the effects of NCP.     

Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field

In the strong uniform magnetic field, the noncommutative plane (NCP) caused by the lowest Landau level (LLL) effect, and QED with NCP (QED-NCP) are studied. Being similar to the condensed matter theory of quantum Hall effect, an effective filling factor f(B) is introduced to characterize the possibility that the electrons stay on the LLL. The analytic and numerical results of the differential cross section for the process of backward Compton scattering in accelerator with unpolarized or polarized initial photons are calculated. The existing data of BL38B2 in Spring-8 have been analyzed roughly and compared with the numerical predictions primitively. We propose a precise measurement of the differential cross sections of backward Compton scattering in a strong     

Anomalously Strong Scattering of Spontaneously Produced Laser Radiation in the First Free-Electron Laser and Study of Free-Electron Two-Quantum Stark Lasing in an Electric Wiggler with Quantum-Wiggler Electrodynamics

We calculate the scattering cross section of an electron with respect to the spontaneously produced laser radiation in the first free-electron laser （FEL） with quantum-wiggler electrodynamics （QWD）. The cross section is 1016 times the Thomson cross section, confirming the result obtained by a previous analysis of the experimental data. A QWD calculation show that spontaneous emission in an FEL using only an electric wiggler can be very strong while amplification through net stimulated emission is practically negligible.