A system of Schwinger-Dyson equations for the model of scalar-field interaction is studied in a deep Euclidean region. It is shown that there exists a critical coupling constant that separates the weak-coupling region characterized by the asymptotically free behavior and the strong-coupling region, where the asymptotic behavior of field propagators becomes ultralocal.
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Natl Res Ctr Kurchatov Inst, Inst High Energy Phys, Protvino 142281, Moscow Oblast, RussiaNatl Res Ctr Kurchatov Inst, Inst High Energy Phys, Protvino 142281, Moscow Oblast, Russia
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Indiana Univ, Dept Phys, Bloomington, IN 47403 USA
Indiana Univ, Ctr Explorat Energy & Matter, Bloomington, IN 47403 USAIndiana Univ, Dept Phys, Bloomington, IN 47403 USA
Szczepaniak, Adam P.
Reinhardt, Hugo
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Inst Theoret Phys, D-72076 Tubingen, GermanyIndiana Univ, Dept Phys, Bloomington, IN 47403 USA
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Univ Salerno, Dipartimento Fis, Via Giovanni Paolo II,132, I-84084 Fisciano, Italy
Ist Nazl Fis Nucl, Sez Napoli, Grp Collegato Salerno, Fisciano, ItalyUniv Salerno, Dipartimento Fis, Via Giovanni Paolo II,132, I-84084 Fisciano, Italy
Blasone, M.
Jizba, P.
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Czech Tech Univ, FNSPE, Brehova 7, Prague 11519 1, Czech RepublicUniv Salerno, Dipartimento Fis, Via Giovanni Paolo II,132, I-84084 Fisciano, Italy