Does the 2d Higgs-Yukawa Model Have a Symmetric Phase at Small Yukawa Coupling Region?

Yue Shen

doi:10.1016/0370-2693(93)90298-V

paper

Does the 2d Higgs-Yukawa Model Have a Symmetric Phase at Small Yukawa Coupling Region?

arXiv:hep-lat/9301009 · doi:10.1016/0370-2693(93)90298-V

Abstract

We show that at arbitrary value of the scalar self coupling and small Yukawa coupling $y$ the 2d Higgs-Yukawa model with Z(2) symmetry remains in the broken phase and the model is asymptotically free: $y \to 0$ as the cut-off $Λ \to \infty$ . This is in agreement with a recent conjecture based on numerical simulation results.

6 pages, 1 postscript figure attached, BUHEP-93-1

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On the equivalence between 2D Yukawa and Gross-Neveu models