2016/03/30 by Tajron Jurić, Timothé Poulain, Jean-Christophe Wallet · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Gravitational singularity #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Quartic function #Scalar (mathematics) #Scalar field #Scalar field theory #Star product #TRACE (psycholinguistics) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep05(2016)146
published as JHEP 05 (2016) 146 · 19 pages
arxiv created 2016/03/30 · openalex publication_date 2016/05/01 · arxiv updated 2016/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the noncommutative space ℝ 3 , a deformation of ℝ 3 for which the star product is closed for the trace functional. We study one-loop IR and UV properties of the 2-point function for real and complex noncommutative scalar field theories with quartic interactions and Laplacian on ℝ 3 as kinetic operator. We find that the 2-point functions for these noncommutative scalar field theories have no IR singularities in the external momenta, indicating the absence of UV/IR mixing. We also find that the 2-point functions are UV finite with the deformation parameter θ playing the role of a natural UV cut-off. The possible origin of the absence of UV/IR mixing in noncommutative scalar field theories on ℝ 3 as well as on ℝ 3 , another deformation of ℝ 3, is discussed.