Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leading Logarithms in the Massive O(N) Nonlinear Sigma Model   We review Buchler and Colangelo's result that leading divergences at any loop
order can be calculated using only one-loop calculations and we provide an
alternative proof. We then use this method to calculate the leading divergences
of and thus the leading logarithmic corrections to the meson mass in the
massive O(N) nonlinear sigma model to five-loop order. We also calculate the
all-loop result to leading order in the large $N$ expansion by showing that
only cactus diagrams contribute and by summing these via a generalized gap
equation.

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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
3
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: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th