The theta-exact Seiberg-Witten maps at the e3 order

Abstract

We study wo distinct theta-exact Seiberg-Witten (SW) map expansions, (I) and (II) respectively, up to the e3 order for the gauge parameter, gauge field and the gauge field strengths of the noncommutative U*(1) gauge theory on the Moyal space. We derive explicitly the closed form expression for the SW map ambiguity between the two and observe the emergence of several new totally commutative generalized star products. We also identify the additional gauge freedoms within each of the e3 order field strength expansions and define corresponding sets of deformation/ratio/weight parameters, (kappa,kappa_i) and (kappa,kappa'_i), for these two SW maps respectively.

arXiv comment13 pages, version accepted for publications in PRD

References in corpus (23)

• Gauge Theory on Noncommutative Spaces
• Signals for Non-Commutative Interactions at Linear Colliders
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Noncommutative Yang-Mills from equivalence of star products
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Anomaly freedom in Seiberg-Witten noncommutative gauge theories
• Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations
• Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups
• Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories
• Non-commutative SU(N) gauge theories and asymptotic freedom
• Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
• The absence of the 4$\psi$ divergence in noncommutative chiral models
• Constraining noncommutative field theories with holography
• Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory
• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term
• Chiral fermions in noncommutative electrodynamics: renormalizability and dispersion
• Self-energies on deformed spacetimes
• Noncommutative GUT inspired theories and the UV finiteness of the fermionic four point functions
• TeV Scale Phenomenology of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ Scattering in the Noncommutative Standard Model with Hybrid Gauge Transformation
• Remarks on the 2nd order Seiberg-Witten maps
• Bound on Noncommutative Standard Model with Hybrid Gauge Transformation via Lepton Flavor Conserving $Z$ Decay
• Two-Point Functions on Deformed Spacetime

Cited by in corpus (7)

• Quantum duality under the theta-exact Seiberg-Witten map
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Super Yang-Mills and theta-exact Seiberg-Witten map: Absence of quadratic noncommutative IR divergences
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• Seiberg-Witten Map with Lorentz-Invariance and Gauge-Covariant Star Product
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory