Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binding two-loop vacuum-polarization corrections to the bound-electron g
  factor   We commence the evaluation of the one- and two-loop binding corrections to
the $g factor for an electron in a hydrogenlike system of order alpha^2 (Z
alpha)^5 and consider diagrams with closed fermion loops. The one-loop
vacuum-polarization correction is rederived and confirmed. For the two-loop
vacuum-polarization correction, due to a specific gauge-invariant set of
diagrams with closed fermion loops, we find a correction delta g = 7.442
(alpha/pi)^2 (Z alpha)^5. Based on the numerical trend of the coefficients
inferred from the gauge-invariant subset, we obtain a numerically large
tentative estimate for the complete two-loop binding correction to the g factor
(sum of self-energy and vacuum polarization).

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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph