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

Yigal Shamir*, Benjamin Svetitsky, Thomas Degrand

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

165 Scopus citations

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.

Original languageEnglish
Article number031502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number3
DOIs
StatePublished - 15 Aug 2008

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