2017/12/19 by A. C. Aguilar, D. Binosi, C. T. Figueiredo +1
Physics and Astronomy · #Gauge (firearms) #Gluon #Hinge #Mass generation #Massless particle #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Realization (probability) #Vertex (graph theory) #Work (physics) #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1140/epjc/s10052-018-5679-2
30 pages, 10 figures
arxiv created 2017/12/19 · openalex created_date 2018/01/05 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
In this work we study the impact that the ghost sector of pure Yang–Mills theories may have on the generation of a dynamical gauge boson mass scale, which hinges on the appearance of massless poles in the fundamental vertices of the theory, and the subsequent realization of the well-known Schwinger mechanism. The process responsible for the formation of such structures is itself dynamical in nature, and is governed by a set of Bethe–Salpeter type of integral equations. While in previous studies the presence of massless poles was assumed to be exclusively associated with the background-gauge three-gluon vertex, in the present analysis we allow them to appear also in the corresponding ghost-gluon vertex. The full analysis of the resulting Bethe–Salpeter system reveals that the contribution of the poles associated with the ghost-gluon vertex are particularly suppressed, their sole discernible effect being a slight modification in the running of the gluon mass scale, for momenta larger than a few GeV. In addition, we examine the behavior of the (background-gauge) ghost-gluon vertex in the limit of vanishing ghost momentum, and derive the corresponding version of Taylor’s theorem. These considerations, together with a suitable Ansatz , permit us the full reconstruction of the pole sector of the two vertices involved.