Quantisation of θ-expanded non-commutative QED

Abstract

We analyse two new versions of θ-expanded non-commutative quantum electrodynamics up to first order in θand first loop order. In the first version we expand the bosonic sector using the Seiberg-Witten map, leaving the fermions unexpanded. In the second version we leave both bosons and fermions unexpanded. The analysis shows that the Seiberg-Witten map is a field redefinition at first order in θ. However, at higher order in θthe Seiberg-Witten map cannot be regarded as a field redefinition. We find that the initial action of any θ-expanded massless non-commutative QED must include one extra term proportional to θwhich we identify by loop calculations.

24 pages, LaTeX, uses the feynmf package

References in corpus (6)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Non-renormalizability of θ-expanded noncommutative QED
• Wilsonian Renormalization Group and the Non-Commutative IR/UV Connection
• Noncommutative Lorentz Symmetry and the Origin of the Seiberg-Witten Map

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