The renormalisation group and global G×G' theories about four dimensions

R. D. Pisarski, D. L. Stein

    Research output: Contribution to journalArticlepeer-review


    The critical behaviour of linear Phi 4 models with global symmetry O(N)*O(M) and U(N)*U(M) is studied at one-loop order in 4- epsilon dimensions. Applications to physical systems include achiral and chiral double-strand polymers, when N=M=0. There exist infrared stables fixed points only if N and M are sufficiently small. Some special cases of interest include (1) O(-2)*O(1) and U(-1)*U(1) which have classical exponents, (2) O(1)*O(1) and O(-2)*O(-2) (for example) which exhibit a 'merging' of critical exponents, (3) M finite, N to infinity which is also calculable in a 1/N expansion.

    Original languageEnglish (US)
    Article number027
    Pages (from-to)3341-3355
    Number of pages15
    JournalJournal of Physics A: Mathematical and General
    Issue number12
    StatePublished - 1981

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • General Physics and Astronomy


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