k-strings and baryon vertices in SU(N) gauge theories

Abstract

It is pointed out that the sine law for the k-string tension emerges as the critical threshold below which the spatial Z_N symmetry of the static baryon potential is spontaneously broken. This result applies not only to SU(N) gauge theories, but to any gauge system with stable k-strings admitting a baryon vertex made with N sources in the fundamental representation. Some simple examples are worked out.

arXiv comment4 pages, 4 figures, v2: reference added, v3: comments and references added

References in corpus (19)

• Casimir scaling of SU(3) static potentials
• Glueballs and k-strings in SU(N) gauge theories : calculations with improved operators
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Confinement and Strings in MQCD
• Confining strings in SU(N) gauge theories
• Static SU(3) potentials for sources in various representations
• The ground state of three quarks
• On String Tensions in Supersymmetric SU(M) Gauge Theory
• The static three-quark SU(3) and four-quark SU(4) potentials
• Spectrum of confining strings in SU(N) gauge theories
• k-string tensions in SU(N) gauge theories
• Remarks on Stable and Quasi-stable k-Strings at Large N
• The Baryon Wilson Loop Area Law in QCD
• A study of colour field distributions in the baryon
• Gluon field distribution in baryons
• The flux distribution of the three quark system in SU(3)
• Non-universal corrections to the tension ratios in softly broken N=2 SU(N) gauge theory
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature

Cited by in corpus (9)

• Quantum broadening of k-strings in gauge theories
• String Tensions and Representations in Anisotropic 2+1-Dimensional Weakly-Coupled Yang-Mills Theory
• Universality of k-string Tensions from Holography and the Lattice
• The Y-stringlike behavior of a static hadron at finite T
• Large N, Z_N Strings and Bag Models
• Fluctuations of the baryonic flux-tube junction from effective string theory
• Center symmetry and area laws
• The conformal anomaly of k-strings
• K-string tensions at finite temperature and integrable models