Classical dimensional transmutation and confinement

Gia Dvali, Cesar Gomez, Slava Mukhanov

    Research output: Contribution to journalArticle

    Abstract

    We observe that probing certain classical field theories by external sources uncovers the underlying renormalization group structure, including the phenomenon of dimensional transmutation, at purely-classical level. We perform this study on an example of λψ4 theory and unravel asymptotic freedom and triviality for negative and positives signs of λ respectively We derive exact classical β function equation. Solving this equation we find that an isolated source has an infinite energy and therefore cannot exist as an asymptotic state. On the other hand a dipole, built out of two opposite charges, has finite positive energy. At large separation the interaction potential between these two charges grows indefinitely as a distance in power one third.

    Original languageEnglish (US)
    Article number103
    JournalJournal of High Energy Physics
    Volume2011
    Issue number12
    DOIs
    StatePublished - 2011

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    transmutation
    dipoles
    energy
    interactions

    Keywords

    • Asymptotic freedom
    • Renormalization group
    • Renormalization regularization and renormalons

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Classical dimensional transmutation and confinement. / Dvali, Gia; Gomez, Cesar; Mukhanov, Slava.

    In: Journal of High Energy Physics, Vol. 2011, No. 12, 103, 2011.

    Research output: Contribution to journalArticle

    Dvali, Gia ; Gomez, Cesar ; Mukhanov, Slava. / Classical dimensional transmutation and confinement. In: Journal of High Energy Physics. 2011 ; Vol. 2011, No. 12.
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