This article is cited in 5 papers

Convergence of the perturbation series for a nonlocal nonpolynomial theory $m^2/\Lambda$

A. G. Basuev


Abstract: In [2,3] the perturbation series in the translationally invariant case is shown to converge on the basis of correspondence with statistical theory. In the present paper, a direct estimate is made for the logarithm of the generating functional of the Euclidean $s$ matrix and an upper bound for the radius of convergence with respect to the coupling constant is obtained; this is proportional to $m^2/\Lambda$, where $m$ is the mass of the particle and $\Lambda$ is the small coupling constant.

Received: 11.07.1972

 English version: Theoretical and Mathematical Physics, 1973, 16:3, 835–842

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