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Renormalization group equations with multiple coupling constants

Уравнения группы перенормировки с составными постоянными свяэи

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Il Nuovo Cimento A (1965-1970)

Summary

The main purpose of this paper is to study the renormalization group equations of a renormalizable field theory with multiple coupling constants. A method for the investigation of the asymptotic stability is presented. This method is applied to a gauge theory with Yukawa and self-quartic couplings of scalar mesons in order to find the domains of asymptotic freedom. An asymptotic expansion for the solutions which tend to the origin of the coupling constants is given.

Riassunto

Scopo principale di questo articolo è lo studio delle equazioni del gruppo di rinormalizzazione di una teoria di campo rinormalizzabile con costanti di accoppiamento multiple. Si presenta un metodo per l’esame della stabilità asintotica. Si applica questo metodo ad una teoria di gauge con accoppiamenti di Yukawa ed autoquartici di mesoni scalari allo scopo di trovare i domini di libertà asintotica. Si dà uno sviluppo asintotico per le soluzioni che tendono all’origine delle costanti di accoppiamento.

Реэюме

Основная цель зтой работы исследовать уравнения группы перенор-мировки для перенормируемой теории поля с составными постоянными свяэи. Предлагается метод исследования асимптотической устойчивости. Чтобы иссле-довать области асимптотической свободы, зтот метод применяется к калибровочной теории для свяэи Юкавы и само-квадратичной свяэи скалярных меэонов. Приводится асимптотическое раэложение для рассматриваемых ре ий.

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References

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Authors and Affiliations

  1. Institute for Atomic Physics, Bucharest

    G. Ghika & M. Vişinescu

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  1. G. Ghika
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  2. M. Vişinescu
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Ghika, G., Vişinescu, M. Renormalization group equations with multiple coupling constants. Nuov Cim A 31, 294–304 (1976). https://doi.org/10.1007/BF02729733

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  • DOI: https://doi.org/10.1007/BF02729733

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