Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups

Abstract

We discuss how to obtain θ-exact Seiberg-Witten maps by expanding in the gauge coupling constant or, equivalently, in the number of ordinary gauge fields. We do so for arbitrary compact gauge groups in arbitrary unitary representations. For gauge and matter fields, we fully work out θ-exact non-hybrid Seiberg-Witten maps up to order three in the number of ordinary gauge fields.

17 pages, no figures, reference added

References in corpus (11)

• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Probing the Noncommutative Standard Model at Hadron Colliders
• Vacuum Birefringence as a Probe of Planck Scale Noncommutativity
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• Particle-like solutions to classical noncommutative gauge theory
• Neutrino propagation in noncommutative spacetimes
• On UV/IR mixing in noncommutative gauge field theories
• Yukawa terms in noncommutative SO(10) and E6 GUTs
• A Noncommutative Version of the Minimal Supersymmetric Standard Model
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology

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• Equivalence of quantum field theories related by the theta-exact Seiberg-Witten map
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• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
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• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
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• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
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• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields