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

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

1993-01-20

arxiv.org/abs/hep-lat/9301009v1

Phys.Lett. B304 (1993) 295-297

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0370-2693(93)90298-V

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 $\Lambda
\to \infty$. This is in agreement with a recent conjecture based on numerical
simulation results.

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