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 Publish in OALib Journal ISSN: 2333-9721 APC: Only $99  Views Downloads  Relative Articles Non-renormalizability of θ-expanded noncommutative QED Signatures of Non-commutative QED at Photon Colliders Signals for Non-Commutative QED in$e γ$and$γγ$Collisions Signals for Non-Commutative QED in$e γ$and$γγ\$ Collisions Lorentz-Invariant Non-Commutative QED Non-linear Vacuum Phenomena in Non-commutative QED Classical transport equation in non-commutative QED at high temperature Testing Non-commutative QED, Constructing Non-commutative MHD General structure of the photon self-energy in non-commutative QED Phenomenological Consequences of Non-commutative QED More...
Physics  2002

# Quantisation of θ-expanded non-commutative QED

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Abstract:

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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