Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three proofs of the Makeenko-Migdal equation for Yang-Mills theory on
  the plane   We give three short proofs of the Makeenko-Migdal equation for the Yang-Mills
measure on the plane, two using the edge variables and one using the loop or
lasso variables. Our proofs are significantly simpler than the earlier
pioneering rigorous proofs given by T. L\'evy and by A. Dahlqvist. In
particular, our proofs are "local" in nature, in that they involve only
derivatives with respect to variables adjacent to the crossing in question. In
an accompanying paper with F. Gabriel, we will show that two of our proofs can
be adapted to the case of Yang-Mills theory on a compact surface.

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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
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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: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th