Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SU(2) Dirac-Yang-Mills quantum mechanics of spatially constant quark and
  gluon fields   The quantum mechanics of spatially constant SU(2) Yang-Mills- and
Dirac-fields minimally coupled to each other is investigated as the strong
coupling limit of 2-color-QCD. Using a canonical transformation of the quark
and gluon fields, which Abelianises the Gauss law constraints to be
implemented, the corresponding unconstrained Hamiltonian and total angular
momentum are derived. In the same way as this reduces the colored spin-1 gluons
to unconstrained colorless spin-0 and spin-2 gluons, it reduces the colored
spin-1/2 quarks to unconstrained colorless spin-0 and spin-1 quarks. These
however continue to satisfy anti-commutation relations and hence the
Pauli-exclusion principle. The obtained unconstrained Hamiltonian is then
rewritten into a form, which separates the rotational from the scalar degrees
of freedom. In this form the low-energy spectrum can be obtained with high
accuracy. As an illustrative example, the spin-0 energy-spectrum of the
quark-gluon system is calculated for massless quarks of one flavor. It is
found, that only for the case of 4 reduced quarks (half-filling) satisfying the
boundary condition of particle-antiparticle C-symmetry, states with energy
lower than for the pure-gluon case are obtained. These are the groundstate,
with an energy about 20% lower than for the pure-gluon case and the formation
of a quark condensate, and the sigma-antisigma excitation with an energy about
a fifth of that of the first glueball excitation.

9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph