Noncommutative standard model atO(θ2)

2007/07/31 by Ana Alboteanu, Thorsten Ohl, R. Rückl +1 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-ph

paper · pdf · doi:10.1103/physrevd.76.105018

published as Phys.Rev.D76:105018,2007 · 22 pages, LaTeX, 6 eps figures included, added several references and one clarification, accepted for publication in Phys. Rev. D

arxiv created 2007/09/17 · openalex publication_date 2007/11/16 · arxiv updated 2009/12/01 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

We derive the most general Seiberg-Witten maps for noncommutative gauge theories in second order of the noncommutative parameter \ensuremathθ. Our results reveal the existence of more ambiguities than previously known. In particular, we demonstrate that some of these ambiguities enter observables like scattering cross sections and enlarge the parameter space of the noncommutative standard model beyond O(\ensuremathθ).

Citations

• Testing the noncommutative standard model at a future photon collider
• Structure of Phenomenological Lagrangians. I
• Structure of Phenomenological Lagrangians. II

Cited by

• Photon-neutrino interaction inθ-exact covariant noncommutative field theory
• Singlet particles as cold dark matter in a noncommutative space-time
• Thermodynamical properties of a noncommutative anti–de Sitter–Einstein-Born-Infeld spacetime from gauge theory of gravity
• Location and direction dependent effects in collider physics from noncommutativity
• Constraining spacetime noncommutativity with primordial nucleosynthesis
• Anomalous triple gauge boson couplings in e−e+→γγ for noncommutative standard model

Related

• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• The theta-exact Seiberg-Witten maps at the e3 order
• The Seiberg-Witten Map for Noncommutative Gauge Theories
• Non-Commutative Extensions of the Standard Model
• The Standard model within noncommutative geometry: a comparison of models