Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical behaviour of the Ising model on the 4-dimensional lattice   In this paper we investigate the nature of the singularity of the Ising model
of the 4-dimensional cubic lattice. It is rigorously known that the specific
heat has critical exponent $\alpha=0$ but a non-rigorous field-theory argument
predicts an unbounded specific heat with a logarithmic singularity at $T_c$. We
find that within the given accuracy the canonical ensemble data is consistent
both with a logarithmic singularity and a bounded specific heat, but that the
micro-canonical ensemble lends stronger support to a bounded specific heat. Our
conclusion is that either much larger system sizes are needed for Monte Carlo
studies of this model in four dimensions or the field theory prediction of a
logarithmic singularity is wrong.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph