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

Abstract

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.

5 pages, 4 figures

References in corpus (6)

• Unparticle Physics
• The physics of eight flavours
• The infrared dynamics of Minimal Walking Technicolor
• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Non-trivial θ-Vacuum Effects in the 2-d O(3) Model
• An ideal toy model for confining, walking and conformal gauge theories: the O(3) sigma model with theta-term

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