Renormalization of noncommutative Yang-Mills theories: A simple example

2000/01/27 by Harald Grosse, Grosse, Harald, Thomas Krajewski +3 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0001182

11 pages, LaTeX 2e, 6 figures

arxiv created 2000/01/27 · openalex publication_date 2000/01/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are renormalizable by local counterterms. This provides a strong support for the renormalizability conjecture of that model.

Cited by

• On the operator product expansion in noncommutative quantum field theory
• Evidence for winding states in noncommutative quantum field theory
• Stretched strings in noncommutative field theory
• THE NONCOMMUTATIVE SUPERSYMMETRIC NONLINEAR SIGMA MODEL
• Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces

Related

• Noncommutative Supersymmetric Theories
• Renormalization: a quasi-shuffle approach
• Noncommutative Supersymmetric Field Theories
• Noncommutative renormalization for massless QED
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology