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

Author:

Zierler Fabian12ORCID,Alkofer Reinhard2ORCID

Affiliation:

1. Department of Physics, Faculty of Science and Engineering, Swansea University, Singleton Park, SA2 8PP Swansea, Wales, United Kingdom

2. Institute of Physics, University of Graz, NAWI Graz, Universitätsplatz 5, 8010 Graz, Austria

Abstract

The gauge-boson, ghost and fermion propagators as well as the gauge-boson-ghost vertex function are studied for SU(N), Sp(2N), and SO(N) gauge groups. We solve a set of coupled Dyson-Schwinger equations in Landau gauge for a variable, fractional number Nf of massless fermions in the fundamental representation. For large Nf we find a phase transition from a chirally broken into a chirally symmetric phase that is consistent with the behavior expected inside the conformal window. Even in the presence of fermions the gauge-boson-ghost-vertex dressing remains small. In the conformal window this vertex shows the expected power law behavior. It does not assume its tree-level value in the far infrared, but the respective dressing function is a constant greater than 1. Published by the American Physical Society 2024

Funder

Austrian Science Fund

Science and Technology Facilities Council

Publisher

American Physical Society (APS)

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