@article{10272/17670, year = {2020}, month = {2}, url = {http://hdl.handle.net/10272/17670}, abstract = {We present a detailed analysis of the kinetic and mass terms associated with the Landau gauge gluon propagator in the presence of dynamical quarks, and a comprehensive dynamical study of certain special kinematic limits of the three-gluon vertex. Our approach capitalizes on results from recent lattice simulations with (2+1) domain wall fermions, a novel nonlinear treatment of the gluon mass equation, and the nonperturbative reconstruction of the longitudinal threegluon vertex from its fundamental Slavnov–Taylor identities. Particular emphasis is placed on the persistence of the suppression displayed by certain combinations of the vertex form factors at intermediate and low momenta, already known from numerous pure Yang–Mills studies. One of our central findings is that the inclusion of dynamical quarks moderates the intensity of this phenomenon only mildly, leaving the asymptotic low-momentum behavior unaltered, but displaces the characteristic “zero crossing” deeper into the infrared region. In addition, the effect of the three-gluon vertex is explored at the level of the effective gauge coupling, whose size is considerably reduced with respect to its counterpart obtained from the ghost-gluon vertex. The main upshot of the above considerations is the further confirmation of the tightly interwoven dynamics between the two- and three-point sectors of QCD.}, organization = {We are very grateful to Ph. Boucaud for his crucial help in obtaining the numerical data, during the early stages of this project, and to the RBC/UKQCD collaboration, especially P. Boyle, N. Christ, Z. Dong, C. Jung, N. Garron, B. Mawhinney and O. Witzel, for access to the lattice configurations employed herein. Our lattice calculations benefited from the following resources: CINES, GENCI, IDRIS (Project ID 52271); and the IN2P3 Computing Facility. This work is supported by the Spanish Ministry of Economy and Competitiveness (MINECO) under Grants FPA2017-84543P (J.P.) and FPA2017-86380-P (J.R.-Q. and F.S.). J.P. also acknowledges the Generalitat Valenciana for the grant Prometeo/2019/087. The work of A.C.A. and M.N.F. is supported by the Brazilian National Council for Scientific and Technological Development (CNPq) under the Grants 305815/2015, 142226/2016-5, and 464898/2014-5 (INCT-FNA). A.C.A. also acknowledges the financial support from Sao Paulo Research Foundation (FAPESP) through the project 2017/05685-2.}, publisher = {Springer Open}, title = {Gluon propagator and three-gluon vertex with dynamical quarks}, doi = {10.1140/epjc/s10052-020-7741-0}, author = {Aguilar, A. C. and Soto Borrero, Feliciano Carlos de and Ferreira, M. N. and Papavassiliou, J. and Rodríguez Quintero, José and Zafeiropoulos, S.}, }