%0 Journal Article
%T Quantisation of ¦È-expanded non-commutative QED
%A Jesper M. Grimstrup
%A Raimar Wulkenhaar
%J Physics
%D 2002
%I arXiv
%R 10.1140/epjc/s2002-01038-9
%X 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.
%U http://arxiv.org/abs/hep-th/0205153v1