On the removal of cutoffs in the $S$-matrix

V. A. Shcherbina


Abstract: Bogolyubov's $R$-operation is studied for $H_{\operatorname{int}}=\lambda:\varphi^4(x):$, where $\varphi(x)$ is a generalized free field with space-like regularization. It is shown that the coefficient functions of the perturbation series for the $S$-matrix tend to their renormalized values when the cutoffs are removed.

Received: 02.01.1973

 English version: Theoretical and Mathematical Physics, 1974, 18:2, 114–123