Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d
  and 4d   Toroidally compactified Yang-Mills theory on the lattice is studied by using
the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the
theory naturally reduces to Yang-Mills with scalars. We confirm previous
analytical and numerical results for pure gauge theory with scalars in (0+1)
dimensions and at high temperatures to Super-Yang-Mills in (1+1) dimensions. In
(1+1) dimensions, our simulations confirm the previously conjectured phase
diagram. Furthermore, we find evidence for the sequential breaking of the
center symmetry in (1+1) dimensions as a function of the volume. In (3+1)
dimensions we present first simulation results for the eigenvalue distribution
of the Polyakov and Wilson loops, finding localized, non-uniform and
center-symmetric configurations as a function of the lattice coupling.

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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc