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Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions

Yigal Shamir, Benjamin Svetitsky, and Thomas DeGrand
Phys. Rev. D 78, 031502(R) – Published 15 August 2008

Abstract

We have carried out a Schrodinger functional calculation for the SU(3) lattice gauge theory with two flavors of Wilson fermions in the sextet representation of the gauge group. We find that the discrete beta function, which governs the change in the running coupling under a discrete change of spatial scale, changes sign when the Schrodinger functional renormalized coupling is in the neighborhood of g2=2.0. The simplest explanation is that the theory has an infrared-attractive fixed point, but more complicated possibilities are allowed by the data. While we compare rescalings by factors of 2 and 4/3, we work at a single lattice spacing.

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  • Received 18 March 2008

DOI:https://doi.org/10.1103/PhysRevD.78.031502

©2008 American Physical Society

Authors & Affiliations

Yigal Shamir and Benjamin Svetitsky

  • Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, 69978 Tel Aviv, Israel

Thomas DeGrand

  • Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

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Issue

Vol. 78, Iss. 3 — 1 August 2008

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