Adiabatic theorem in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 63-84

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A definition Is given of the renormalized $S$-matrix in quantum field theory. This is based on a passage to the limit from the adiabatic $S$-matrix tn a finite volume. It is shown that under certain conditions the definition is equivalent to the ordinary definition.
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V. N. Likhachev; Yu. S. Tyupkin; A. S. Schwarz. Adiabatic theorem in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 1, pp. 63-84. http://geodesic.mathdoc.fr/item/TMF_1972_10_1_a6/