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- W2023355698 abstract "We calculate the ultraviolet divergences of the scalar O(N) model in the 1/N expansion near four dimensions (d=4-ensuremath{epsilon}). At next to leading order in (1/N) the point d=4 becomes an essential singularity as the accumulation point of an infinite sequence of poles at ensuremath{epsilon}=2/k for integer k. Such singular behavior renders the dimensionally renormalized interacting theory unsummable. These singularities are not predicted when the perturbatively calculated renormalization constants are reexpanded in powers of 1/N. Rather they arise from the summation of the infinite subset of quadratically divergent Feynman diagrams which make up each order of the 1/N expansion. Such pathological behavior should be a general feature of dimensional renormalization when quadratic divergences are treated nonperturbatively." @default.
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- W2023355698 date "1985-12-15" @default.
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- W2023355698 title "Quadratic divergences in dimensional renormalization of 1/Nexpansions" @default.
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- W2023355698 doi "https://doi.org/10.1103/physrevd.32.3244" @default.
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