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Title: Walking in the 3-dimensional large N scalar model
Authors: Aoki, Sinya
Balog, Janos
Weisz, Peter
Author's alias: 青木, 慎也
Keywords: Lattice Quantum Field Theory
Field Theories in Lower Dimensions
Renormalization Group
Issue Date: Sep-2014
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2014
Issue: 9
Thesis number: 167
Abstract: 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.
Rights: © 2014, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP09(2014)167
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