Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermionic Structure of Two-Dimensional Ising Model with Quenched Site
  Dilution   We apply a new anticommuting path integral technique to clarify the fermionic
structure of the 2D Ising model with quenched site dilution. In the $N$-replica
scheme, the model is explicitly reformulated as a theory of interacting
fermions on a lattice. An unusual feature is that the leading term of
interaction in the exact lattice theory is of order $2N$ in fermions, where $N$
is the number of replicas. The continuum-limit approximation near $T_c $ for
weak dilution produces, however, an effective four-fermion interaction. In
particular, this implies the doubled-logarithmic singularity in the specific
heat near $T_c$ for weak site dilution. The exact value of the initial slope is
also obtained.
  Keywords: Ising model, site disorder, anticommuting Grassmann variables

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex