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Particular solutions of the equation for the quark propagator in the infra-red region of QCD

Частные рещения уравнения для кваркового пропагатора в инфракрасной области КХД

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Il Nuovo Cimento A (1965-1970)

Summary

A number of particular solutions of the Schwinger-Dyson equation for the quark propagator in the infra-red region of QCD is obtained taking account of the gauge identities. The solutions are of a nonperturbative character, some of them break the chiral invariance. The obtained solutions are analysed with the help of the effective potential method.

Riassunto

Si ottengono alcune soluzioni particolari dell’equazione di Schwinger-Dyson per il propagatore di quark nella regione a infrarosso della QCD, tenendo conto delle identità di gauge. Esse sono di carattere non perturbativo, alcune rompono l’invarianza chirale. Le soluzioni ottenute sono analizzate con il metodo potenziale efficace.

Реэюме

В работе получен ряд частных рещений уравнения Щвингера-Дайсона для кваркового пропагатора с учетом калибровочных тождеств в инфракрасной области КХД. Рещения имеют непертурбативный характер, некоторые иэ них нарущают киральную инвариантность. Проведен аналиэ полученных рещений с помошью метода зффективного потенциала.

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Authors and Affiliations

  1. Institute for High Energy Physics, Serpukhov, Moscow, U.S.S.R.

    B. A. Arbuzov, A. I. Davydychev & S. S. Kurennoy

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  1. B. A. Arbuzov
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  2. A. I. Davydychev
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  3. S. S. Kurennoy
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Arbuzov, B.A., Davydychev, A.I. & Kurennoy, S.S. Particular solutions of the equation for the quark propagator in the infra-red region of QCD. Nuov Cim A 97, 131–147 (1987). https://doi.org/10.1007/BF02733844

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  • DOI: https://doi.org/10.1007/BF02733844

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