对应性和分析性
Correspondence and analyticity
摘要:
物理区域中S矩阵的解析性质由对应原理决定,该原理断言经典物理的预言是通过取量子理论预言的经典极限而产生的。以这种方式从经典性质推导出的解析性质包括奇异表面的位置、围绕这些表面的解析延拓规则以及解析特征(例如,极点、对数等)这些奇异性。因此,这些重要的性质的S矩阵推导不使用严格的局部性假设。量子特性是由经典特性的解析逆向工程导出的。
英文摘要:
The analyticity properties of the S matrix in the physical region are determined by the correspondence principle, which asserts that the predictions of classical physics are generated by taking the classical limit of the predictions of quantum theory. The analyticity properties deducible in this way from classical properties include the locations of the singularity surfaces, the rules for analytic continuation around these surfaces, and the analytic character (e.g., pole, logarithmic, etc.) of these singulatities. These important properties of the S matrix are thus derived without using stringent locality assumptions. The quantum properties are derived by an analytic reverse engineering of the classical properties.
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