Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic low-temperature behavior of two-dimensional RP$^{N-1}$ models   We investigate the low-temperature behavior of two-dimensional (2D)
RP$^{N-1}$ models, characterized by a global O($N$) symmetry and a local
${\mathbb Z}_2$ symmetry. For $N=3$ we perform large-scale simulations of four
different 2D lattice models: two standard lattice models and two different
constrained models. We also consider a constrained mixed O(3)-RP$^2$ model for
values of the parameters such that vector correlations are always disordered.
We find that all these models show the same finite-size scaling (FSS) behavior,
and therefore belong to the same universality class. However, these FSS curves
differ from those computed in the 2D O(3) $\sigma$ model, suggesting the
existence of a distinct 2D RP$^2$ universality class. We also performed
simulations for $N=4$, and the corresponding FSS results also support the
existence of an RP$^3$ universality class, different from the O(4) one.

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The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph