Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions

Journal Article · Wed Sep 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.054503· OSTI ID:21421051

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

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1. Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)

We have measured the running coupling constant of SU(3) gauge theory coupled to N{sub f}=2 flavors of symmetric representation fermions, using the Schroedinger functional scheme. Our lattice action is defined with hypercubic smeared links which, along with the larger lattice sizes, bring us closer to the continuum limit than in our previous study. We observe that the coupling runs more slowly than predicted by asymptotic freedom, but we are unable to observe fixed point behavior before encountering a first order transition to a strong coupling phase. This indicates that the infrared fixed point found with the thin-link action is a lattice artifact. The slow running of the gauge coupling permits an accurate determination of the mass anomalous dimension for this theory, which we observe to be small, {gamma}{sub m} < or approx. 0.6, over the range of couplings we can reach. We also study the bulk and finite-temperature phase transitions in the strong coupling region.

• OSTI ID: 21421051
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANOMALOUS DIMENSION
ASYMPTOTIC SOLUTIONS
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
COUPLING
COUPLING CONSTANTS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
PARTICLE MODELS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
QUARK MODEL
SCALE DIMENSION
STRONG-COUPLING MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS