Walking near a Conformal Fixed Point: the 2-d O(3) Model at theta near pi as a Test Case

Understand

Slowly walking technicolor models provide a mechanism for electroweak symmetry breaking whose nonperturbative lattice investigation is rather challenging.

• Here we demonstrate walking near a conformal fixed point considering the 2-d lattice O(3) model at vacuum angle $\theta \approx \pi$.
• The essential features of walking technicolor models are shared by this toy model and can be accurately investigated by numerical simulations.
• We show results for the running coupling and the beta-function and we perform a finite size scaling analysis of the massgap close to the conformal point.