Baryons in QCD{sub AS} at large N{sub c}: A roundabout approach

Journal Article · Mon Feb 01 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.036006· OSTI ID:21409223

Cohen, Thomas D; Shafer, Daniel L ^[1]; Lebed, Richard F ^[2]

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1. Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)
2. Department of Physics, Arizona State University, Tempe, Arizona 85287-1504 (United States)

QCD{sub AS}, a variant of large N{sub c} QCD in which quarks transform under the color two-index antisymmetric representation, reduces to standard QCD at N{sub c}=3 and provides an alternative to the usual large N{sub c} extrapolation that uses fundamental representation quarks. Previous strong plausibility arguments assert that the QCD{sub AS} baryon mass scales as N{sub c}{sup 2}; however, the complicated combinatoric problem associated with quarks carrying two color indices impeded a complete demonstration. We develop a diagrammatic technique to solve this problem. The key ingredient is the introduction of an effective multigluon vertex: a ''traffic circle'' or roundabout diagram. We show that arbitrarily complicated diagrams can be reduced to simple ones with the same leading N{sub c} scaling using this device, and that the leading contribution to baryon mass does, in fact, scale as N{sub c}{sup 2}.

• OSTI ID: 21409223
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
COLOR MODEL
COMPOSITE MODELS
DIAGRAMS
ELEMENTARY PARTICLES
EXTRAPOLATION
FERMIONS
FIELD THEORIES
HADRONS
INFORMATION
MASS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCALING