HEP Lattice·hep-lat
3 papers—3 primary·0 cross-listed·reconstructed*
Gunnar Bali🇩🇪 · Francis Bursa🇩🇪
We analyze the meson spectrum in SU(N_c) lattice gauge theory. We use Wilson quarks to measure the pseudoscalar and vector masses in SU(2), SU(3), SU(4) and SU(6), and extrapolate to the large-N_c limit. We find that finite-N_c corrections are small at all values of the quark mass.
Barak Bringoltz🇬🇧 · Michael Teper🇬🇧
We calculate energies and tensions of closed k-strings in (2+1)-dimensional SU(N) gauge theories with N=4,5,6,8. When we study the dependence of the ground state energy on the string length, we find that it is well described by a Nambu-Goto (NG) free bosonic string for large lengths. At shorter lengths we see deviations which we fit, and this allows us to control the systematic error involved in extracting the tension. We compare the resulting string tensions with Casimir scaling, which we find to be lower than our data by 1%-4%. Extrapolating our results to N=oo we see that our data fits more naturally to 1/N rather than 1/N^2 corrections. Finally, we see that the full spectrum of the k-string states falls into sectors that belong to particular irreducible representations of SU(N).
Arata Yamamoto (Kyoto Univ.)🇯🇵 · Hideo Suganuma (Kyoto Univ.)🇯🇵 · Hideaki Iida (Osaka Univ.)🇯🇵
We perform the first study for the heavy-heavy-light quark (QQq) potential in SU(3) lattice QCD. The calculations are done with the standard gauge and -improved Wilson fermion action on the lattice at at the quenched level. We calculate the energy of QQq systems as the function of the distance between the two heavy quarks, and find that the QQq potential is well described with a Coulomb plus linear potential form. Compared to the static three-quark case, the Coulomb term does not change but the effective string tension between the heavy quarks is significantly reduced by the light-quark effect. We also investigate the light-quark mass dependence of the QQq potential using the four hopping parameters, , and 0.1380. The reduction of the effective string tension is considered to be a general property for baryons and multi-quark hadrons.
* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.