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Calculation of Tensor Susceptibility Beyond Rainbow-Ladder Approximation

In this paper, we extend the calculation of tensor vacuum susceptibility in the rainbow-ladder approximation of the Dyson–Schwinger (DS) approach in Shi et al. (Phys Lett B 639:248, 2006) to that of employing the Ball–Chiu (BC) vertex. The dressing effect of the quark-gluon vertex on the tensor vacu...

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Bibliographic Details
Published in:Few-body systems 2010-08, Vol.48 (1), p.31-39
Main Authors: Shi, Yuan-mei, Zhu, Hui-xia, Sun, Wei-min, Zong, Hong-shi
Format: Article
Language:English
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Summary:In this paper, we extend the calculation of tensor vacuum susceptibility in the rainbow-ladder approximation of the Dyson–Schwinger (DS) approach in Shi et al. (Phys Lett B 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.
ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-010-0088-6