Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some approximate analytical methods in the study of the self-avoiding
  loop model with variable bending rigidity and the critical behaviour of the
  strong coupling lattice Schwinger model with Wilson fermions   Some time ago Salmhofer demonstrated the equivalence of the strong coupling
lattice Schwinger model with Wilson fermions to a certain 8-vertex model which
can be understood as a self-avoiding loop model on the square lattice with
bending rigidity $\eta = 1/2$ and monomer weight $z = (2\kappa)^{-2}$. The
present paper applies two approximate analytical methods to the investigation
of critical properties of the self-avoiding loop model with variable bending
rigidity, discusses their validity and makes comparison with known MC results.
One method is based on the independent loop approximation used in the
literature for studying phase transitions in polymers, liquid helium and cosmic
strings. The second method relies on the known exact solution of the
self-avoiding loop model with bending rigidity $\eta = 1/\sqrt{2}$. The present
investigation confirms recent findings that the strong coupling lattice
Schwinger model becomes critical for $\kappa_{cr} \simeq 0.38-0.39$. The phase
transition is of second order and lies in the Ising model universality class.
Finally, the central charge of the strong coupling Schwinger model at
criticality is discussed and predicted to be $c = 1/2$.

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: math
1
The categories of this paper are: cs