The mass gap and vacuum energy of the Gross-Neveu model via the 2PPI expansion
arXiv:hep-th/0210098 · doi:10.1103/PhysRevD.67.025011
Abstract
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.
14 pages,19 eps figures, revtex4