Agradecimentos: The research of J.P. is supported by the Spanish MEYC under Grants FPA2014-53631-C2-1-P and SEV-2014-0398, and Generalitat Valenciana under Grant Prometeo II/2014/066. The work of A. C. A is supported by the National Council for Scientific and Technological Development-CNPq under the...

Agradecimentos: The research of J.P. is supported by the Spanish MEYC under Grants FPA2014-53631-C2-1-P and SEV-2014-0398, and Generalitat Valenciana under Grant Prometeo II/2014/066. The work of A. C. A is supported by the National Council for Scientific and Technological Development-CNPq under the Grant 305815/2015 and by Sao Paulo Research Foundation - FAPESP through the project 2017/07595-0. C. T. F. acknowledges the financial support from FAPESP through the fellowship 2016/11894-0. JaxoDraw [89,90] has been used

Abstract: 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...

Abstract: 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

CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ

305815/2015

FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP

2016/11894-0; 2017/075950

Aberto