Renormalizability of noncommutativeSU(N) gauge theory

2005/10/31 by Maja Buric, Dusko Latas, Voja Radovanovic · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #BRST quantization #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge anomaly #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Noncommutative and Quantum Gravity Theories #Quantum gauge theory #Supersymmetric gauge theory #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/02/046

published as JHEP0602:046,2006 · 11 pages, minor changes, accepted for publication in JHEP

arxiv created 2006/02/08 · openalex publication_date 2006/02/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze the renormalizability properties of pure gauge noncommutative SU(N) theory in the θ-expanded approach. We find that the theory is one-loop renormalizable to first order in θ.

Citations

• String theory and noncommutative geometry
• Construction of non-Abelian gauge theories on noncommutative spaces
• One-Loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutativeℝ4
• The renormalization of non-commutative field theories in the limit of large non-commutativity
• On divergent 3-vertices in noncommutative SU (2) gauge theory
• Gauge theory on noncommutative spaces
• Invariant tensors for simple groups

Cited by

• Lorentz violation in the Higgs sector and the noncommutative standard model
• Noncommutative GUT inspired theories with U(1) andSU(N)groups and their renormalizability
• Location and direction dependent effects in collider physics from noncommutativity