Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory [rapid communication]
By R. Alkofer, C. Fischer, F. Llanes-Estrada. 2004
138 citations recorded by the source corpus.
The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost-gluon vertex remains finite in this limit. The running coupling as extracted from either of these vertex functions possesses an infrared fixed point. In general, diagrams including ghost-loops dominate in the infrared over purely gluonic ones.
View Paper: https://www.semanticscholar.org/paper/7c8ae8a845844cde677a15b01276ba41a3ef4be2
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- A. Deur
- Markus Q. Huber
- S. Brodsky
- Guy F. de Téramond
- C. Fischer
- Philippe Boucaud
- J. Leroy
- A. Yaouanc
Citations in the corpus
- The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “[175; 182; 183] on the infrared behaviour of vertices, ref.”
- Nonperturbative properties of Yang–Mills theories (2018, background): “It is known that from every vertex one can extract an expression for the running coupling [55, 330, 427], for example:”
- Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions (2007, background): “Theoretical studies based on DysonSchwinger equation [40, 41, 42, 43] and phenomenological [44, 45] evidence is in fact accumulating that the QCD couplings defined from physical observables such as τ decay [46] become constant at small virtuality; i.”
- The QCD running coupling (2016, methodology): “The resulting couplings α3gs (Q 2) and α4gs (Q 2) were first investigated by Alkofer, Fischer, and Llanes-Estrada [307].”
- QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “Another, highly non-trivial exception has been identified in [200, 201, 266, 267]: for very small momenta, general scaling laws for all one-particle irreducible Green’s functions of the theory have been identified that solve the complete tower of DSEs (and FRGs) self-consistently.”