Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence between 2D Yukawa and Gross-Neveu models   We study numerically on the lattice the 2D Yukawa model with the U(1) chiral
symmetry and $N_F$ = 16 at infinite scalar field self-coupling. The scaling
behaviour of the fermion mass, as the Yukawa coupling approaches zero, is
analysed using the mean field method. It is found to agree with that of the
Gross-Neveu model with the same symmetry and $N_F$. The results suggest that
the 2D Yukawa models belong to the universality class of the Gross-Neveu models
not only at weak scalar field self-coupling but also for a broad range of the
bare parameters which is not accessible to the $1/N_F$ expansion. New
universality classes might arise at the crossover to the spin model
universality class, however.

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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: cs