Large N scaling and factorization in SU(N) Yang-Mills theory

Miguel García Vera; Rainer Sommer

doi:10.1051/epjconf/201817511018

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Open Access

EPJ Web of Conferences 175, 11018 (2018)
https://doi.org/10.1051/epjconf/201817511018

Large N scaling and factorization in SU(N) Yang-Mills theory

Miguel García Vera¹^,2^* and Rainer Sommer¹^,2

¹ John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, D-15738 Zeuthen, Germany
² Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany

^* Speaker, e-mail: miguel.garcia@desy.de

Published online: 26 March 2018

Abstract

We present results for Wilson loops smoothed with the Yang-Mills gradient flow and matched through the scale t₀. They provide renormalized and precise operators allowing to test the 1/N² scaling both at finite lattice spacing and in the continuum limit. Our results show an excellent scaling up to 1/N = 1/3. Additionally, we obtain a very precise non-perturbative confirmation of factorization in the large N limit.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).