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Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors

Fabian Zierler, Reinhard Alkofer Orcid Logo

Physical Review D, Volume: 109, Issue: 7

Swansea University Author: Fabian Zierler

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Abstract

The gauge-boson, ghost and fermion propagators as well as the gauge-boson–ghost vertex functionare studied for SU(N ), Sp(2N ) and SO(N ) gauge groups. We solve a set of coupled Dyson-Schwingerequations in Landau gauge for a variable, fractional number Nf of massless fermions in the funda-mental rep...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2024
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa65884
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Abstract: The gauge-boson, ghost and fermion propagators as well as the gauge-boson–ghost vertex functionare studied for SU(N ), Sp(2N ) and SO(N ) gauge groups. We solve a set of coupled Dyson-Schwingerequations in Landau gauge for a variable, fractional number Nf of massless fermions in the funda-mental representation. For large Nf we find a phase transition from a chirally broken into a chirallysymmetric phase that is consistent with the behavior expected inside the conformal window. Evenin the presence of fermions the gauge-boson–ghost-vertex dressing remains small. In the conformalwindow this vertex shows the expected power law behavior. It does not assume its tree-level valuein the far infrared, but the respective dressing function is a constant greater than one
College: Faculty of Science and Engineering
Funders: UKRI Science and Technology Facilities Council (STFC), Austrian Science Fund
Issue: 7