2017/04/30 by Kohta Hatakeyama, Asato Tsuchiya
Physics and Astronomy · #Black Holes and Theoretical Physics #Correlation function (quantum field theory) #Fuzzy sphere #Matrix (chemical analysis) #Monte Carlo method #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Renormalization #Scalar (mathematics) #Scalar field #Scalar field theory #hep-lat #hep-th
paper · pdf · doi:10.1093/ptep/ptx070
published as Prog. Theor. Exp. Phys. (2017) 063B01 · 22 pages, 11 figures, published version
openalex created_date 2017/04/28 · openalex publication_date 2017/05/02 · arxiv created 2017/06/07 · arxiv updated 2017/06/09 · openalex updated_date 2026/08/05
We study renormalization in a scalar field theory on the fuzzy sphere. The theory is realized by a matrix model, where the matrix size plays the role of an ultraviolet cutoff. We define correlation functions by using the Berezin symbol identified with a field and calculate them nonperturbatively by Monte Carlo simulation. We find that the 2-point and 4-point functions are made independent of the matrix size by tuning a parameter and performing a wave function renormalization. The results strongly suggest that the theory is nonperturbatively renormalizable in the ordinary sense.