2014/07/31 by Sinya Aoki, János Balog, Janos Balog +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Gauge theory #Geometry #Lattice (music) #Lattice field theory #Mathematical physics #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Scalar (mathematics) #Scalar field #Statistical physics #hep-lat #hep-th
paper · pdf · doi:10.1007/jhep09(2014)167
published in Journal of High Energy Physics 2014(9) (Springer Nature) · 27 pages, 5 figures, typos in the published version are corrected
openalex publication_date 2014/09/01 · arxiv created 2015/06/18 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The solvability of the three-dimensional O(N) scalar field theory in the large N limit makes it an ideal toy model exhibiting “walking” behavior, expected in some SU(N) gauge theories with a large number of fermion flavors. We study the model using lattice regularization and show that when the ratio of the particle mass to an effective 4-point coupling (with dimension mass) is small, the beta function associated to the running 4-point coupling is “walking”. We also study lattice artifacts and finite size effects, and find that while the former can be sizable at realistic correlation length, the latter are under control already at lattice sizes a few (∼3) correlation lengths. We show the robustness of the walking phenomenon by showing that it can also be observed by studying physical observables such as the scattering phase shifts and the mass gap in finite volume.