Vanishing β-function for Grosse–Wulkenhaar model in a magnetic field

2008/05/28 by Joseph Ben Geloun, Razvan Gurău, Razvan Gurau +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2008.12.027

published as Phys.Lett.B671:284-290,2009 · 14 pages, 5 figures

arxiv created 2008/05/28 · openalex publication_date 2008/12/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

We prove that the β-function of the Grosse–Wulkenhaar model including a magnetic field vanishes at all order of perturbations. We compute the renormalization group flow of the relevant dynamic parameters and find a non-Gaussian infrared fixed point. Some consequences of these results are discussed.

Citations

• The energy-momentum tensor on noncommutative spaces - some pedagogical comments
• A (p, q)-deformed Landau problem in a spherical harmonic well: Spectrum and noncommuting coordinates
• Parametric Representation of Noncommutative Field Theory
• Renormalization of the Orientable Non-commutative Gross–Neveu Model

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