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          Institute: MPI für Physik     Collection: YB 2016     Display Documents



ID: 715940.0, MPI für Physik / YB 2016
Walking in the 3-dimensional large $N$ scalar model
Authors:Aoki, Sinya; Balog, Janos; Weisz, Peter
Date of Publication (YYYY-MM-DD):2014
Title of Journal:Journal of High Energy Physics
Journal Abbrev.:JHEP
Issue / Number:09
Start Page:167
Audience:Not Specified
Intended Educational Use:No
Abstract / Description: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 ($\\sim$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.
Classification / Thesaurus:Field Theory
Comment of the Author/Creator:27 pages, 5 figures
External Publication Status:published
Document Type:Article
Communicated by:MPI für Physik
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2014-296
URL:http://inspirehep.net/search?p=find+eprint+1407.70...
URL:http://arXiv.org/abs/arxiv:1407.7079
URL:https://publications.mppmu.mpg.de/?action=search&m...
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