Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing   We study the perturbative quantization of 2-dimensional massive scalar field
theory with polynomial (or power series) potential on manifolds with boundary.
We prove that it fits into the functorial quantum field theory framework of
Atiyah-Segal. In particular, we prove that the perturbative partition function
defined in terms of integrals over configuration spaces of points on the
surface satisfies an Atiyah-Segal type gluing formula. Tadpoles (short loops)
behave nontrivially under gluing and play a crucial role in the result.

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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci