On a mean field approximation for Higgs-Yukawa systems

Details On a mean field approximation for Higgs-Yukawa systems On a mean field approximation for Higgs-Yukawa systems

1993-09-02

arxiv.org/abs/hep-lat/9309001v2

Mod.Phys.Lett. A9 (1994) 983-992

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 5 PostScript figures ( included ), harvmac and epsf, KYUSHU-HET-7. ( All is the same as the original one except that

Scientific paper

10.1142/S0217732394000824

We discuss the phase structure of a lattice Higgs-Yukawa system in the variational mean field approximation with contributions of fermionic determinant being calculated in a ladder approximation. In particular, we demonstrate that in this approximation the ferrimagnetic phase in the $Z_2$ model with naive fermions can appear as an artifact of a finite lattice and that the phase diagram for this model on infinite lattice changes qualitatively at space-time dimension $D = 4$ compared with those at $D > 4$.

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