绝热极限问题的解。无无穷大的QED
Solution of the Adiabatic Limit Problem. QED Without Infinities
摘要：
本文利用自由场的白噪声构造，给出了Minkowski时空中因果微扰QED的绝热极限问题的正解，并对Minkowski时空中微扰QED级数的收敛问题的解作出了贡献。所得到的散射算符是一个广义算符，它足以计算基本场的广义多粒子平面波态的有效截面。束缚态仍然在闵可夫斯基时空的QED范围之外。该方法是一般的，足以适用于更一般的因果微扰QFT，如标准模型与希格斯场。
英文摘要：
In this work we give positive solution to the adiabatic limit problem in causal perturbative QED on the Minkowski space-time, as well as give a contribution to the solution of the convergence problem for the perturbative series in QED on the Minkowski space-time, by using white noise construction of free fields. The obtained scattering operator is a generalized operator sufficient for the computation of the effective cross section, involving generalized many-particle plane wave states of the fundamental fields. Bound states remain outside the scope of the resulting QED on the Minkowski space-time. The method is general enough to be applicable to more general causal perturbative QFT, such as Standard Model with the Higgs field.
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