Perturbative Expansion around the Gaussian Effective Potential of the Fermion Field Theory

Details Perturbative Expansion around the Gaussian Effective Potential of the Fermion Field Theory Perturbative Expansion around the Gaussian Effective Potential of the Fermion Field Theory

1998-04-14

arxiv.org/abs/hep-th/9804094v3

Phys.Rev. D58 (1998) 125001

Physics

High Energy Physics

High Energy Physics - Theory

14pages, no figures, other comments Typographical errors are corrected and new references are added

Scientific paper

10.1103/PhysRevD.58.125001

We have extended the perturbative expansion method around the Gaussian effective action to the fermionic field theory, by taking the 2-dimensional Gross-Neveu model as an example. We have computed both the zero temperature and the finite temperature effective potentials of the Gross-Neveu model up to the first perturbative correction terms, and have found that the critical temperature, at which dynamically broken symmetry is restored, is significantly improved for small value of the flavour number.

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