Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantisation of \theta-expanded non-commutative QED   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.

4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
9
The categories of this paper are: nlin