Second order expansions of action functionals of noncommutative gauge theories

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.

arXiv comment17 pages

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Cited by in corpus (23)

• Second Order Noncommutative Corrections to Gravity
• The Noncommutative Standard Model at O(theta^2)
• Seiberg--Witten Maps to All Orders
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Noncommutative gravity at second order via Seiberg-Witten map
• Lorentz Conserving Noncommutative Standard Model
• Massive Neutrino in Non-commutative Space-time
• U(1) gauge field theory on kappa-Minkowski space
• Noncommutative Chern-Simons gauge and gravity theories and their geometric Seiberg-Witten map
• Particle-like solutions to classical noncommutative gauge theory
• Singlet particles as cold dark matter in noncommutative space-time
• Remarks on the 2nd order Seiberg-Witten maps
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• The U(1)A anomaly in noncommutative SU(N) theories
• Neutrino-electron scattering in noncommutative space
• Two-photon annihilation of singlet cold dark matters due to noncommutative space-time
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• $\mathcal{O}(\theta )$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model
• Gauge Theories and Non-Commutative Geometry
• Noncommutative $D=5$ Chern-Simons Gravity: Kaluza-Klein Reduction and Chiral Gravitational Anomaly