Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Critical Surface of Chiral-invariant System with Gauge Boson and
  Fermions   In the chirally-invariant context of the $U_{em}(1)$ gauge interaction and
four-fermion interactions for ordinary and mirror fermions, the Schwinger-Dyson
equation for the fermion self-energy function is studied on a lattice. We find
that a sensible infrared limit can be defined on a critical surface, which is
consistent with the critical line found in the continuum theory.

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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom