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

Journal Article · Fri Aug 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.031502· OSTI ID:21250573

Shamir, Yigal; Svetitsky, Benjamin; DeGrand, Thomas ^[1]

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1. Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, 69978 Tel Aviv (Israel)

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 g{sup 2}=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.

• OSTI ID: 21250573
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 3; Other Information: DOI: 10.1103/PhysRevD.78.031502; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPARATIVE EVALUATIONS
COUPLING
FERMIONS
FLAVOR MODEL
GAUGE INVARIANCE
LATTICE FIELD THEORY
RENORMALIZATION
SCHROEDINGER EQUATION
SU-3 GROUPS
WILSON LOOP