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Advances in High Energy Physics
Volume 2014, Article ID 142373, 5 pages
Research Article

On Finite Interquark Potential in Driven by a Minimal Length

Departmento de Física and Centro Científico-Tecnológico de Valparaíso, Universidad Técnica Federico Santa María, Valparaíso, Chile

Received 8 April 2014; Accepted 30 June 2014; Published 17 July 2014

Academic Editor: Stephen Pate

Copyright © 2014 Patricio Gaete. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We address the effect of a quantum gravity induced minimal length on a physical observable for three-dimensional Yang-Mills. Our calculation is done within stationary perturbation theory. Interestingly enough, we find an ultraviolet finite interaction energy, which contains a regularized logarithmic function and a linear confining potential. This result highlights the role played by the new quantum of length in our discussion.