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Stable, finite energy density solutions in the effective theory of non-abelian gauge fields
We consider the gauge fixed partition function of pure gauge theory
in axial gauge following the Halpern's field strength formalism. We integrate
over field strengths using the Bianchi identities and obtain an
effective action of the remaining field strengths in momentum
space. We obtain the static solutions of the equations of motion (EOM) of the
effective theory. The solutions exhibit Gaussian nature in the component of
momentum and are proportional to the delta functions of the remaining
components of momentum. The solutions render a finite energy density of the
system and the parameters are found to be proportional to fourth root of the
gluon condensate. It indicates that the solutions offer a natural mass scale in
the low energy phase of the theory.Comment: 6 pages Minor changes in the manuscript and two figures adde
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