Quantisation of θ-expanded non-commutative QED

Details Quantisation of θ-expanded non-commutative QED Quantisation of θ-expanded non-commutative QED

2002-05-15

arxiv.org/abs/hep-th/0205153v1

Eur.Phys.J.C26:139-151,2002

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX, uses the feynmf package

Scientific paper

10.1140/epjc/s2002-01038-9

We analyse two new versions of \theta-expanded non-commutative quantum electrodynamics up to first order in \theta and 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 \theta. However, at higher order in \theta the Seiberg-Witten map cannot be regarded as a field redefinition. We find that the initial action of any \theta-expanded massless non-commutative QED must include one extra term proportional to \theta which we identify by loop calculations.

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