Variational calculations in gauge theories with approximate projection on gauge invariant states

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 Latex pages

Scientific paper

Variational calculations using Gaussian wave functionals combined with an approximate projection on gauge invariant states are presented. We find that the energy exhibits a minimum for a wave functional centered around a non vanishing background magnetic field. We show that divergences can be removed by a renormalization of the coupling constant. The resulting expectation value of the gluon condensate is found to be in qualitative agreement with phenomenological estimates.

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