English

The anti-quark--quark potential from Bethe-Salpeter amplitudes on lattice

High Energy Physics - Lattice 2010-12-13 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Potentials of quark--anti-quark pairs are studied from the anti-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 anti-q--q potentials with finite quark masses from the NBS wave functions. We calculate the anti-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 anti-q--q potentials.

Keywords

Cite

@article{arxiv.1011.2866,
  title  = {The anti-quark--quark potential from Bethe-Salpeter amplitudes on lattice},
  author = {Yoichi Ikeda and Hideaki Iida},
  journal= {arXiv preprint arXiv:1011.2866},
  year   = {2010}
}

Comments

Talk given at 28th International Symposium on Lattice Field Theory (Lattice 2010), Sardinia, Itary, 14-20 Jun 2010