2006/07/24 by D. I. Kazakov, Kazakov, D. I., G. S. Vartanov +1 · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Dimension (graph theory) #Dimensionless quantity #Geometry #Mathematical physics #Mathematics #Perturbation theory (quantum mechanics) #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Space (punctuation) #Theoretical physics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0607177
published in arXiv (Cornell University) (Cornell University) · latex + 6 axodraw pictures
openalex publication_date 2006/07/24 · arxiv created 2006/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.