Classical dimensional transmutation and confinement

Gia Dvali, Cesar Gomez, Slava Mukhanov

    Research output: Contribution to journalArticlepeer-review


    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
    Issue number12
    StatePublished - Dec 2011


    • Asymptotic freedom
    • Renormalization group
    • Renormalization regularization and renormalons

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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