Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization of the noncommutative photon self-energy to all orders
  via Seiberg-Witten map   We show that the photon self-energy in quantum electrodynamics on
noncommutative $\mathbb{R}^4$ is renormalizable to all orders (both in $\theta$
and $\hbar$) when using the Seiberg-Witten map. This is due to the enormous
freedom in the Seiberg-Witten map which represents field redefinitions and
generates all those gauge invariant terms in the $\theta$-deformed classical
action which are necessary to compensate the divergences coming from loop
integrations.

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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
2
The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: gr-qc