Baryons in QCD_{AS} at Large N_c: A Roundabout Approach

Abstract

QCD_{AS}, a variant of large N_c QCD in which quarks transform under the color two-index antisymmetric representation, reduces to standard QCD at N_c = 3 and provides an alternative to the usual large N_c extrapolation that uses fundamental representation quarks. Previous strong plausibility arguments assert that the QCD_{AS} baryon mass scales as N_c^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 multi-gluon vertex: a "traffic circle" or "roundabout" diagram. We show that arbitrarily complicated diagrams can be reduced to simple ones with the same leading N_c scaling using this device, and that the leading contribution to baryon mass does, in fact, scale as N_c^2.

9 pages, 9 pdf figures, ReVTeX with pdflatex

References in corpus (2)

• Baryons and Skyrmions in QCD with Quarks in Higher Representations
• All you need is N: Baryon spectroscopy in two large N limits

Cited by in corpus (11)

• Quarkyonic Chiral Spirals
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Quantum-Number Exotic Tetraquarks at Large $N_c$ in QCD(AS)
• Spin contribution to light baryons in different large-$N$ limits
• Light baryon masses in different large-$N_c$ limits
• Baryon resonances in large $N_c$ QCD
• Baryon Magnetic Moments in Alternate 1/N_c Expansions
• Alternate 1/N_c Expansions and SU(3) Breaking from Baryon Lattice Results
• Mean-field theory of baryonic matter for QCD in the large $N_c$ and heavy quark mass limits
• Large Nc gauge theory with quarks in high representations