Asymptotically free theories based on discrete subgroups

Abstract

We study the critical behavior of discrete spin models related to the 2d O(3) non-linear sigma model. Precise numerical results suggest that models with sufficiently large discrete subgroups are in the same universality class as the original sigma model. We observe that at least up to correlation lengths $\xi \approx 300$ the cut-off effects follow effectively an $\propto a$ behaviour both in the O(3) and in the dodecahedron model.

4 pages, 3 figures, Lattice 2000 (Spin Models)

Cited by in corpus (9)

• Gluon Field Digitization for Quantum Computers
• Gluon Field Digitization via Group Space Decimation for Quantum Computers
• Sigma models on quantum computers
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Lattice Renormalization of Quantum Simulations
• The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory
• Asymptotically free models and discrete non-Abelian groups
• Gluon Digitization via Character Expansion for Quantum Computers
• Spin models on Platonic solids and asymptotic freedom