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Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
Fabian Zierler,
Reinhard Alkofer 
Physical Review D, Volume: 109, Issue: 7
Swansea University Author: Fabian Zierler
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DOI (Published version): 10.1103/physrevd.109.074024
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...
| Published in: | Physical Review D |
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| ISSN: | 2470-0010 2470-0029 |
| Published: |
American Physical Society (APS)
2024
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| Online Access: |
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| 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 |
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| College: |
Faculty of Science and Engineering |
| Funders: |
UKRI Science and Technology Facilities Council (STFC), Austrian Science Fund |
| Issue: |
7 |