Alternate 1/N_c Expansions and SU(3) Breaking from Baryon Lattice Results

Abstract

A combined expansion in the number of QCD colors 1/N_c and SU(3) flavor breaking parameter epsilon has long been known to provide an excellent accounting for the mass spectrum of the lightest spin-1/2, 3/2 baryons when the quarks are taken to transform under the fundamental SU(N_c) representation, and in the final step N_c \to 3 and epsilon is set to its physical value ~0.3. Subsequent work shows that placing quarks in the two-index antisymmetric SU(N_c) representation leads to quantitatively equally successful mass relations. Recent lattice simulations allow for varying the value of epsilon and confirm the robustness of the original 1/N_c relations. In this paper we show that the same conclusion holds for the antisymmetric quarks, and demonstrate that the mass relations also hold under alternate prescriptions for identifying physical baryons with particular members of the large N_c multiplets.

10 pages, 2 tables, 8 figures; v3: typos fixed, references added, journal version

References in corpus (5)

• A Lattice Test of 1/N_c Baryon Mass Relations
• Baryons in QCD_{AS} at Large N_c: A Roundabout Approach
• Baryons and Skyrmions in QCD with Quarks in Higher Representations
• All you need is N: Baryon spectroscopy in two large N limits
• Baryon Magnetic Moments in Alternate 1/N_c Expansions

Cited by in corpus (9)

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• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Lattice study of large $N_c$ QCD
• Quantum-Number Exotic Tetraquarks at Large $N_c$ in QCD(AS)
• Bose-Fermi cancellations without supersymmetry
• Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors
• Baryon resonances in large $N_c$ QCD
• Spectroscopy of SU(4) lattice gauge theory with fermions in the two index anti-symmetric representation