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Low-energy theorems and dispersion relations to all orders in the electromagnetic interaction

✍ Scribed by L.D Soloviev


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
450 KB
Volume
81
Category
Article
ISSN
0003-4916

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✦ Synopsis


An S-matrix theory of the electromagnetic interaction without infrared divergences is proposed. With the help of it the effects of the soft (both real and virtual) photons are considered without perturbation theory approximations.

The following results are obtained. (1) The terms of order k-l, In k, k" and k ln8 k are found in the bremsstrahlung matrix element where k is the radiated energy (they are expressed through the matrix element of the process without radiation). ( 2) It is shown, that if dispersion relations exist at nonzero photon mass, then they exist at zero mass also. (3) The first three terms of the series expansion in energy near the threshold are found for the Compton scattering matrix element at fixed momentum transfers. Relation of the obtained results to highenergy scattering and relativistic eikonal models is considered.


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