Does the 2d Higgs-Yukawa Model Have a Symmetric Phase at Small Yukawa Coupling Region?
Yue Shen
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 0 as the cut-off Λ ∞. This is in agreement with a recent conjecture based on numerical simulation results.
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