Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scale invariance implies conformal invariance for the three-dimensional
  Ising model   Using Wilson renormalization group, we show that if no integrated vector
operator of scaling dimension $-1$ exists, then scale invariance implies
conformal invariance. By using the Lebowitz inequalities, we prove that this
necessary condition is fulfilled in all dimensions for the Ising universality
class. This shows, in particular, that scale invariance implies conformal
invariance for the three-dimensional Ising model.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs