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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2015-03, Vol.75 (3), p.1-21, Article 102
Main Authors: Cyrol, Anton K., Huber, Markus Q., Smekal, Lorenz von
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Dressing
Elementary Particles
Green's functions
Hadrons
Heavy Ions
Infrared
Joining
Lattices
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Running
String Theory
Tensors
Yang-Mills theory
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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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-015-3312-1