The mass gap and vacuum energy of the Gross-Neveu model via the 2PPI expansion

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages,19 eps figures, revtex4

Scientific paper

10.1103/PhysRevD.67.025011

We introduce the 2PPI (2-point-particle-irreducible) expansion, which sums
bubble 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 qualitatively
good.

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