2004/09/22 by Etsuko Itou, Itou, Etsuko
Mathematics · Physics and Astronomy · #Beta function (physics) #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #FOS: Physical sciences #Field (mathematics) #Field theory (psychology) #Fixed point #High Energy Physics - Theory (hep-th) #Infrared fixed point #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Renormalization group #Sigma model #Theoretical physics #Thermal quantum field theory #Ultraviolet fixed point #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0409220
published in arXiv (Cornell University) (Cornell University) · Contribution to the Proceedings of the 12th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 2004), Tsukuba, Japan, June 17-23, 2004
arxiv created 2004/09/22 · openalex publication_date 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We find a class of fixed point theory for 2- and 3-dimensional non-linear sigma models using Wilsonian renormalization group (WRG) approach. In 2-dimensional case, the fixed point theory is equivalent to the Witten's semi-infinite cigar model. In 3-dimensional case, the theory has one parameter which describes a marginal deformation from the infrared to ultraviolet fixed points of the CPN model in the theory spaces.