Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum corrections to vortex masses and energies   We study the 2+1 dimensional abelian Higgs model defined on a spatial torus
at critical self-coupling. We propose a method to compute the quantum
contribution to the mass of the ANO vortex and to multi-vortex energies. The
one-loop quantum correction to multi-vortex energies is computed analytically
at the critical value of the torus area (Bradlow limit). For other values of
the area one can set up an expansion around this critical area (Bradlow
parameter expansion). The method is explained and the next-to-leading term
explicitly evaluated. To this order, the resulting energies depend on the torus
periods, but not on the vortex positions.

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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: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga