Abstract
We develop a variational method in order to study non-perturbative structure of the vacuum wave functional in QCD. To retain gauge invariance, we employ a vacuum test functional motivated by the structure of perturbation theory. The resultant integral equation contains only renormalizable logarithmic divergences and is reliable in the weak coupling region. We find that this equation contains a non-perturbative solution besides the perturbative one, and the energy in the former state is lower. Further it is shown that the gluon condensation <G a2 μv > calculated using this non-perturbative solution agrees with the result of several authors.
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Nojiri, S. Variational study of vacuum wave functional in QCD. Z. Phys. C - Particles and Fields 22, 245–249 (1984). https://doi.org/10.1007/BF01575787
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DOI: https://doi.org/10.1007/BF01575787