Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative U(1) gauge theory from a worldline perspective   We study pure noncommutative U(1) gauge theory representing its one-loop
effective action in terms of a phase space worldline path integral. We write
the quadratic action using the background field method to keep explicit gauge
invariance, and then employ the worldline formalism to write the one-loop
effective action, singling out UV-divergent parts and finite (planar and
non-planar) parts, and study renormalization properties of the theory. This
amounts to employ worldline Feynman rules for the phase space path integral,
that nicely incorporate the Fadeev-Popov ghost contribution and efficiently
separate planar and non-planar contributions. We also show that the effective
action calculation is independent of the choice of the worldline Green's
function, that corresponds to a particular way of factoring out a particle
zero-mode. This allows to employ homogeneous string-inspired Feynman rules that
greatly simplify the computation.

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The categories of this paper are: stat
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph