Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field Theory Simulations on a Fuzzy Sphere - an Alternative to the
  Lattice   We explore a new way to simulate quantum field theory, without introducing a
spatial lattice. As a pilot study we apply this method to the 3d \lambda \phi^4
model. The regularisation consists of a fuzzy sphere with radius R for the two
spatial directions, plus a discrete Euclidean time. The fuzzy sphere
approximates the algebra of functions of the sphere with a matrix algebra, and
the scalar field is represented by a Hermitian N x N matrix at each time site.
We evaluate the phase diagram, where we find a disordered phase and an ordered
regime, which splits into phases of uniform and non-uniform order. We discuss
the behaviour of the model in different limits of large N and R, which lead to
a commutative or to a non-commutative \lambda \phi^4 model in flat space.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol