Ghost-gluon vertex in the presence of the Gribov horizon

• Verfasst von: Mintz, Bruno W. [VerfasserIn]
• Verfasst von: Palhares, L. F. [VerfasserIn]
• Verfasst von: Sorella, S. P. [VerfasserIn]
• Verfasst von: Duarte Pereira Junior, Antônio [VerfasserIn]
• Titel: Ghost-gluon vertex in the presence of the Gribov horizon
• Verf.angabe: B.W. Mintz, L.F. Palhares, and S.P. Sorella, A.D. Pereira
• E-Jahr: 2018
• Jahr: 20 February 2018
• Umfang: 15 S.
• Fussnoten: Gesehen am 23.04.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2018
• Band/Heft Quelle: 97(2018,3) Artikel-Nummer 034020, 15 Seiten
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.97.034020
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 169583450X

Abstract

We consider Yang-Mills theories quantized in the Landau gauge in the presence of the Gribov horizon via the refined Gribov-Zwanziger (RGZ) framework. As the restriction of the gauge path integral to the Gribov region is taken into account, the resulting gauge field propagators display a nontrivial infrared behavior, being very close to the ones observed in lattice gauge field theory simulations. In this work, we explore a higher correlation function in the refined Gribov-Zwanziger theory: the ghost-gluon interaction vertex, at one-loop level. We show explicit compatibility with kinematical constraints, as required by the Ward identities of the theory, and obtain analytical expressions in the limit of vanishing gluon momentum. We find that the RGZ results are nontrivial in the infrared regime, being compatible with lattice Yang-Mills simulations in both SU(2) and SU(3), as well as with solutions from Schwinger-Dyson equations in different truncation schemes, Functional Renormalization Group analysis, and the renormalization group-improved Curci-Ferrari model.