2003/04/30 by Reinhard Alkofer, R. Alkofer, Christian S. Fischer +5 · 44 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Gauge (firearms) #Gauge theory #Gluon #Gluon condensate #High-Energy Particle Collisions Research #Infrared #Invariant (physics) #Mathematical physics #Mathematics #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.68.045003
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(4) (American Physical Society) · 34 pages, 6 figures, Version to be published in Phys. Rev. D
arxiv created 2003/06/11 · openalex publication_date 2003/08/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
To investigate the possibility of a ghost-antighost condensate, the coupled Dyson-Schwinger equations for the gluon and ghost propagators in Yang-Mills theories are derived in general covariant gauges, including ghost-antighost symmetric gauges. The infrared behavior of these two-point functions is studied in a bare-vertex truncation scheme which has proven to be successful in the Landau gauge. In all linear covariant gauges the same infrared behavior as in the Landau gauge is found: The gluon propagator is infrared-suppressed whereas the ghost propagator is infrared-enhanced. This infrared singular behavior provides an indication against a ghost-antighost condensate. In the ghost-antighost symmetric gauges we find that the infrared behavior of the gluon and ghost propagators cannot be determined when replacing all dressed vertices by bare ones. The question of a BRS invariant dimension-2 condensate remains to be further studied.