Abstract
The unnormalized doubly cutoff Schwinger functions converge as the ultraviolet cutoff is removed. The limits, the finite volume unnormalized Schwinger functions, are tempered distributions and areC ∞ in the coupling constant. They have asymptotic expansions given by perturbation theory. For λ sufficiently small they can be normalized and then they are the moments of a measure onI′ ℝ (IR3).
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Communicated by A. S. Wightman
Supported in part by the National Science Foundation under Grant GP 40354X.
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Feldman, J. The λϕ 43 field theory in a finite volume. Commun.Math. Phys. 37, 93–120 (1974). https://doi.org/10.1007/BF01646205
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DOI: https://doi.org/10.1007/BF01646205