A Dyson-Schwinger study of the four-gluon vertex
We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang-Mills theory from a truncated Dyson-Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous Dyson-Sch...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
04 March 2015
|
| In: |
The European physical journal. C, Particles and fields
Year: 2015, Volume: 75, Issue: 3, Pages: 1-21 |
| ISSN: | 1434-6052 |
| DOI: | 10.1140/epjc/s10052-015-3312-1 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epjc/s10052-015-3312-1
|
| Author Notes: | Anton K. Cyrol, Markus Q. Huber, Lorenz von Smekal |
| Summary: | We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang-Mills theory from a truncated Dyson-Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous Dyson-Schwinger calculations that are in good agreement with lattice data. All quantities are therefore fixed and no higher Green functions enter within this truncation. Our self-consistent solution resolves the full momentum dependence of the vertex but is limited to the tree-level tensor structure at the moment. Calculations of selected dressing functions for other tensor structures from this solution are used to exemplify that they are suppressed compared to the tree-level structure except for possible logarithmic enhancements in the deep infrared. Our results furthermore allow one to extract a qualitative fit for the vertex and a running coupling. |
|---|---|
| Item Description: | Gesehen am 16.12.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1434-6052 |
| DOI: | 10.1140/epjc/s10052-015-3312-1 |