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A possible renormalization of the nonlinearσ-model

Воэможная перенормировка нелинейной т-модели

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Il Nuovo Cimento A (1965-1970)

Summary

A natural way to determine the renormalization constants of the nonlinear σ-model with only one extra parameter is presented; PCAC relations are fulfilled at all orders. This method is explicitly developed for one-loop graphs involving nucleons.

Riassunto

Si presenta un metodo naturale per determinare le costanti di rinormalizzazione del modello σ non lineare con un solo parametro addizionale; le relazioni di PCAC sono soddisfatte in tutti gli ordini. Si sviluppa esplicitamente il metodo sui grafici ad una ansa che coinvolgono nucleoni.

Реэюме

Предлагается естественный путь определения перенормировочных постоянных нелинейнойс-модели с единственным дополнительным параметром. Соотнощения PCAC выполняются во всех порядках. Этот метод в явном виде рассматривается на графиках с одной петлей, включаюших нуклоны.

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References

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Bergere, M.C., Drouffe, J.M. A possible renormalization of the nonlinearσ-model. Nuov Cim A 11, 121–138 (1972). https://doi.org/10.1007/BF02722782

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  • DOI: https://doi.org/10.1007/BF02722782

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