PARAMETRIC INTEGRAL REPRESENTATIONS OF RENORMALIZED FEYNMAN AMPLITUDES

被引：34

作者：

APPELQUIST, T

机构：

[1] Laboratory of Nuclear Studies, Cornell University, Ithaca, New York and Stanford Linear Accelerator Center, Stanford University, Stanford

来源：

ANNALS OF PHYSICS | 1969年 / 54卷 / 01期

关键词：

D O I：

10.1016/0003-4916(69)90333-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A parametric integral representation for the amplitudes of renormalized perturbation theory is developed. The result is a closed, well-defined and unique renormalized amplitude to be associated with an arbitrary Feynman graph. By unique we mean that the renormalized amplitude is explicitly independent of the initial choice of independent integration momenta and the routing of external momenta through the graph. Our prescription is applicable to conventionally unrenormalizable as well as renormalizable theories. It is shown that for renormalizable theories, our representation is formally equivalent to the usual recursive subtraction formula for writing renormalized amplitudes and hence can be interpreted in terms of mass and coupling constant renormalization. To investigate the practical advantages of this formalism, a calculation of the fourth order vacuum polarization in Quantum Electro-dynamics is carried out. © 1969.

引用

页码：27 / +

页数：1

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