Renormalizable Expansion for Nonrenormalizable Theories: I. Scalar Higher Dimensional Theories

Details Renormalizable Expansion for Nonrenormalizable Theories: I. Scalar Higher Dimensional Theories Renormalizable Expansion for Nonrenormalizable Theories: I. Scalar Higher Dimensional Theories

2006-07-24

arxiv.org/abs/hep-th/0607177v2

Physics

High Energy Physics

High Energy Physics - Theory

latex + 6 axodraw pictures

Scientific paper

We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional scalar theories. It is based on 1/N-expansion and results in a logarithmically divergent perturbation theory in arbitrary high odd space-time dimension. The resulting effective coupling is dimensionless and is running in accordance with the usual RG equations. The corresponding beta function is calculated in the leading order and is nonpolynomial in effective coupling. It exhibits either UV asymptotically free or IR free behaviour depending on the dimension of space-time.

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