Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/11108
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Type: | Journal article |
Title: | Bethe-Salpeter equation and a nonperturbative quark-gluon vertex |
Author: | Bender, A. Detmold, W. Thomas, A. Roberts, C. |
Citation: | Physical Review C: Nuclear Physics, 2002; 65(6):5203-5216 |
Publisher: | American Physical Soc |
Issue Date: | 2002 |
ISSN: | 0556-2813 1089-490X |
Organisation: | Special Research Centre for the Subatomic Structure of Matter |
Statement of Responsibility: | A. Bender, W. Detmold, A. W. Thomas and C. D. Roberts |
Abstract: | A Ward-Takahashi identity preserving Bethe-Salpeter kernel can always be calculated explicitly from a dressed-quark-gluon vertex whose diagrammatic content is enumerable. We illustrate that fact using a vertex obtained via the complete resummation of dressed-gluon ladders. While this vertex is planar, the vertex-consistent kernel is nonplanar and that is true for any dressed vertex. In an exemplifying model the rainbow-ladder truncation of the gap and Bethe-Salpeter equations yields many results; e.g., π- and ρ-meson masses, that are changed little by including higher-order corrections. Repulsion generated by nonplanar diagrams in the vertex-consistent Bethe-Salpeter kernel for quark-quark scattering is sufficient to guarantee that diquark bound states do not exist. |
Rights: | ©2002 The American Physical Society |
DOI: | 10.1103/PhysRevC.65.065203 |
Published version: | http://dx.doi.org/10.1103/physrevc.65.065203 |
Appears in Collections: | Aurora harvest 2 Special Research Centre for the Subatomic Structure of Matter publications |
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hdl_11108.pdf | Published version | 278.04 kB | Adobe PDF | View/Open |
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