TY - JOUR
T1 - The q¯-q potential from Bethe-Salpeter amplitudes on lattice
AU - Ikeda, Yoichi
AU - Iida, Hideaki
N1 - Funding Information:
The aouthors thank S. Aoki, T.Doi, T. Hatsuda, T. Inoue, N. Ishii, K. Murano, H. Nemura, K. Sasaki and S. Sasaki for the fruitful discussion. Y.I. also thanks N. Kaiser, A. Laschka and W. Weise for the useful discussion. The calculations were performed mainly by using the NEC-SX9 and SX8R at Osaka University, and partly by RIKEN Integrated Cluster of Clusters (RICC) facility. This work is supported by the Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research on Innovative Areas (No. 2004: 20105001, 20105003).
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2010
Y1 - 2010
N2 - Potentials of quark-anti-quark pairs are studied from the q¯-q Nambu-Bethe-Salpeter (NBS) wave functions in quenched lattice QCD. With the use of a method which has been recently developed in the derivation of nuclear forces from QCD, we derive the q¯-q potentials with finite quark masses from the NBS wave functions. We calculate the q¯-q NBS wave functions in pseudo-scalar and vector channels for several quark masses. The derived potentials in both channels reveal linear confinement plus Coulomb potentials. We also discuss the quark-mass and channel dependence of the q¯-q potentials.
AB - Potentials of quark-anti-quark pairs are studied from the q¯-q Nambu-Bethe-Salpeter (NBS) wave functions in quenched lattice QCD. With the use of a method which has been recently developed in the derivation of nuclear forces from QCD, we derive the q¯-q potentials with finite quark masses from the NBS wave functions. We calculate the q¯-q NBS wave functions in pseudo-scalar and vector channels for several quark masses. The derived potentials in both channels reveal linear confinement plus Coulomb potentials. We also discuss the quark-mass and channel dependence of the q¯-q potentials.
UR - http://www.scopus.com/inward/record.url?scp=85055346756&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055346756&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85055346756
SN - 1824-8039
VL - 105
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010
Y2 - 14 June 2010 through 19 June 2010
ER -