Baryons and Skyrmions in QCD with Quarks in Higher Representations

Abstract

We study the baryonic sector of QCD with quarks in the two index symmetric or antisymmetric representation. The minimal gauge invariant state that carries baryon number cannot be identified with the Skyrmion of the low energy chiral effective Lagrangian. Mass, statistics and baryon number do not match. We carefully investigate the properties of the minimal baryon in the large N limit and we find that it is unstable under formation of bound states with higher baryonic number. These states match exactly with the properties of the Skyrmion of the effective Lagrangian.

arXiv comment23 pages, 13 figures. v2: minor changes. v3: corrected a mistake and some typos. v4: modifyed the part about the stability of the Skyrmion

References in corpus (4)

• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Refining the Proof of Planar Equivalence
• The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics

Cited by in corpus (24)

• Baryon spectrum of SU(4) composite Higgs theory with two distinct fermion representations
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Large N Volume Independence and an Emergent Fermionic Symmetry
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Baryons in QCD_{AS} at Large N_c: A Roundabout Approach
• The Hopf Skyrmion in QCD with Adjoint Quarks
• Quantum-Number Exotic Tetraquarks at Large $N_c$ in QCD(AS)
• All you need is N: Baryon spectroscopy in two large N limits
• 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
• Skyrmions in Yang--Mills Theories with Massless Adjoint Quarks
• Low-Energy Limit of Yang-Mills with Massless Adjoint Quarks: Chiral Lagrangian and Skyrmions
• Baryon Magnetic Moments in Alternate 1/N_c Expansions
• Alternate 1/N_c Expansions and SU(3) Breaking from Baryon Lattice Results
• Color Superconductivity at Large N: A New Hope
• The equation of state in two-, three-, and four-color QCD at non-zero temperature and density
• Skyrmions in Orientifold and Adjoint QCD
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Large Nc gauge theory with quarks in high representations
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model
• Compact construction algorithms for the singlets of SU(N) over mixed tensor product spaces
• Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories
• From pQCD to neutron stars: matching equations of state to constrain global star properties