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We introduce the 2PPI (2-point-particle-irreducible) expansion, which sumsbubble graphs to all orders. We prove the renormalizibility of this summation.We use it on the Gross-Neveu model to calculate the mass gap and vacuum energy.After an optimization of the expansion, the final results are qualitativelygood.Comment: 14 pages,19 eps figures, revtex

Mass gap and vacuum energy of the Gross-Neveu model via the 2-point-particle-irreducible expansion