Walking in the 3-dimensional large N scalar modelReport as inadecuate

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Journal of High Energy Physics

, 2014:167

First Online: 29 September 2014Received: 01 August 2014Accepted: 01 September 2014 Abstract

The solvability of the three-dimensional ON scalar field theory in the large N limit makes it an ideal toy model exhibiting -walking- behavior, expected in some SUN 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.

KeywordsLattice Quantum Field Theory Field Theories in Lower Dimensions Renormalization Group ArXiv ePrint: 1407.7079

An erratum to this article can be found at http:-dx.doi.org-10.1007-JHEP072015037.

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Author: Sinya Aoki - Janos Balog - Peter Weisz

Source: https://link.springer.com/

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