The 2PPI expansion: dynamical mass generation and vacuum energy

Abstract

We discuss the 2PPI expansion, a summation of the bubble graphs up to all orders, by means of the 2D Gross-Neveu toy model, whose exact mass gap and vacuum energy are known. Then we use the expansion to give analytical evidence that a dimension two gluon condensate exists for pure Yang-Mills in the Landau gauge. This <A2> condensate consequently gives rise to a dynamical gluon mass.

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