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

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

References in corpus (5)

• The non-perturbative groundstate of Q.C.D and the local composite operator A_mu^2
• Summation and renormalization of bubble graphs to all orders
• Study of the O(N) linear sigma model at finite temperature using the 2PPI expansion
• A 2 Loop 2PPI Analysis of $\lambda {\varphi }^4$ at Finite Temperature
• Dynamical mass generation by source inversion: Calculating the mass gap of the Gross-Neveu model

Cited by in corpus (3)

• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• A determination of <A^2> and the non-perturbative vacuum energy of Yang-Mills theory in the Landau gauge
• Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the 2PPI formalism