Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean Area of Self-Avoiding Loops   The mean area of two-dimensional unpressurised vesicles, or self-avoiding
loops of fixed length $N$, behaves for large $N$ as $A_0 N^{3/2}$, while their
mean square radius of gyration behaves as $R^2_0 N^{3/2}$. The amplitude ratio
$A_0/R_0^2$ is computed exactly and found to equal $4\pi/5$. The physics of the
pressurised case, both in the inflated and collapsed phases, may be usefully
related to that of a complex O(n) field theory coupled to a U(1) gauge field,
in the limit $n \to 0$.

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The categories of this paper are: patt-sol
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex