Second order of the expansions of action functionals of the noncommutative Standard Model

2004/09/30 by Lutz Möller, Lutz M ller · 27 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Extension (predicate logic) #Gauge (firearms) #Gauge theory #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Space (punctuation) #Standard Model (mathematical formulation) #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/10/063

published in Journal of High Energy Physics 2004(10), 063 (Springer Nature) · 17 pages

openalex publication_date 2004/10/27 · arxiv created 2004/11/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Field theory and gauge theory on noncommutative spaces have been established as their own areas of research in recent years. The hope prevails that a noncommutative gauge theory will deliver testable experimental predictions and will thus be a serious candidate for an extension of the Standard Model. This note contains the results for expanded gauge theory actions on a noncommutative space with constant theta, up to second order, together with a discussion of the ambiguities of the expanded theory and how they affect the action.

Citations

• String theory and noncommutative geometry
• Gauge theories on the κ -Minkowski spacetime
• Construction of non-Abelian gauge theories on noncommutative spaces
• The standard model on non-commutative space-time
• Noncommutative monopole at the second order in θ
• Gauge theory on noncommutative spaces
• Seiberg-Witten Map for Superfields on Canonically DeformedN=1,d=4 Superspace
• Conservation of Isotopic Spin and Isotopic Gauge Invariance

Cited by

• Lorentz conserving noncommutative standard model
• Thermodynamical properties of a noncommutative anti–de Sitter–Einstein-Born-Infeld spacetime from gauge theory of gravity