Summary
The volume and the ultra-violet cut-offs for a model with mass-changing interaction are investigated. A unitary operator plays the role of the usual dressing operator. Starting from the cut-off vacua, approximate Wightman functions are constructed, converging to the physical ones.
Riassunto
Si esaminano i tagli sul volume e sull’impulso in un modello con rinormalizzazione di massa. Il consueto operatore di « dressing» è sostituito da un operatore unitario. A partire dai vuoti tagliati si costruiscono delle funzioni di Wightman che convergono a quelle fisiche.
Реэюме
Исследуются общемное обреэание и ультрафиолетовое обреэание для модели с вэаимодействием, иэменяюшим массу. Унитарный оператор играет роль обычного оператора одевания. Исходя иэ вакуума с обреэанием, конструируются приближенные функции Вайтмана, сходяшиеся к фиэическим функциям.
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References
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J. Ginibre andG. Velo:Renormalization of a quadratic interaction in the Hamiltonian formalism, to appear.
See, for instance,T. Kato:Perturbation for Linear Operators (Berlin, 1966).
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de Mottoni, P., Tesei, A. Wightman functions in a model with mass renormalization. Nuov Cim A 1, 319–327 (1971). https://doi.org/10.1007/BF02722672
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DOI: https://doi.org/10.1007/BF02722672