Summary
The supersymmetric nonlinear sigma-model is investigated by the use of the generalized projection operator method. It is proved that the terms caused by the noncommutativity among the operators inO(N) nonlinear sigma models disappear from the equations of motion in their supersymmetric generalizations.
Riassunto
Si studia il modello sigma non lineare supersimmetrico con l’uso del metodo degli operatori di proiezione generalizzato. Si dimostra che i termini divergenti causati dalla non commutatività tra gli operatori nei modelli sigma non lineariO(N) scompaiono dalle equazioni di moto nelle loro generalizzazioni supersimmetriche.
Резюме
Используя метод обобшенных проекционных операторов, исследуется суперсимметричная нелинейная сигма-модель. Доказывается, что расходящиеся члены, обусловленные некоммутативностью операторов вО Н нелинейных сигмамоделях, исчезают из уравнений движения в случае их суперсимметричных обобшений.
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Nakamura, M. Quantization of supersymmetric nonlinear sigma-model. Nuov Cim B 102, 93–103 (1988). https://doi.org/10.1007/BF02728795
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DOI: https://doi.org/10.1007/BF02728795