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Physics  2002 

Quantisation of θ-expanded non-commutative QED

DOI: 10.1140/epjc/s2002-01038-9

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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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