English

Calculation of tensor susceptibility beyond rainbow-ladder approximation of Dyson-Schwinger equations approach

High Energy Physics - Phenomenology 2015-03-13 v1

Abstract

In this paper, we extend the calculation of tensor vacuum susceptibility in the rainbow-ladder approximation of the Dyson-Schwinger (DS) approach in [Y.M.Shi, K.P.Wu, W.M.Sun, H.S.Zong, J.L.Ping, Phys. Lett. B 639\bf{639}, 248 (2006)] to that of employing the Ball-Chiu (BC) vertex. The dressing effect of the quark-gluon vertex on the tensor vacuum susceptibility is investigated. Our results show that compared with its rainbow-ladder approximation value, the tensor vacuum susceptibility obtained in the BC vertex approximation is reduced by about 10%. This shows that the dressing effect of the quark-gluon vertex is not large in the calculation of the tensor vacuum susceptibility in the DS approach.

Keywords

Cite

@article{arxiv.1003.5359,
  title  = {Calculation of tensor susceptibility beyond rainbow-ladder approximation of Dyson-Schwinger equations approach},
  author = {Yuan-mei Shi and Hui-xia Zhu and Wei-min Sun and Hong-shi Zong},
  journal= {arXiv preprint arXiv:1003.5359},
  year   = {2015}
}

Comments

14 pages, 13 figures