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Asymptotic conditions and infrared divergences in quantum electrodynamics

P. P. Kulish, L. D. Faddeev


Abstract: A definition which is free of infrared divergences is proposed for the $S$ matrix of a reiativistic theory of interacting charged particles. This is achieved by a modification of the asymptotic condition and the introduction of a new simce of asymptotic states. This state differs from the Fok space, but is separable and relatlvistically and gauge invariant. The mass operator has no nonvanishing discrete eigenvalues.

Received: 23.03.1970

 English version: Theoretical and Mathematical Physics, 1970, 4:2, 745–757

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