https://doi.org/10.1140/epjc/s10052-018-5679-2
Regular Article - Theoretical Physics
Evidence of ghost suppression in gluon mass scale dynamics
1
Institute of Physics “Gleb Wataghin”, University of Campinas-UNICAMP, Campinas, SP, 13083-859, Brazil
2
European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villa Tambosi, Strada delle Tabarelle 286, 38123, Villazzano, TN, Italy
3
Department of Theoretical Physics and IFIC, University of Valencia and CSIC, 46100, Valencia, Spain
* e-mail: binosi@ectstar.eu
Received:
15
January
2018
Accepted:
25
February
2018
Published online:
3
March
2018
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.
© The Author(s), 2018
