Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-Loop Analysis of Vector Current Propagators in Chiral Perturbation
  Theory   We perform a calculation of the isospin and hypercharge vector current
propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) to
two loops in chiral perturbation theory. The analysis is carried out with
straightforward Feynman diagram methods by making appropriate use of external
vector sources. Counterterms from the ${\cal O}(q^6)$ chiral lagrangian,
required to absorb divergences and scale dependence encountered at the two-loop
level, are constructed. Our final results are finite, covariant, and
scale-independent. Several applications are described, including a comparison
of the two-loop isospin vector spectral function with data and the construction
of new chiral sum rules.

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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: physics