https://doi.org/10.1140/epja/s10050-022-00774-y
Regular Article - Theoretical Physics
Influence of light quark loops on the Wigner phase with Dyson–Schwinger equations approach
1
Institute of Geophysics and Geomatics, China University of Geosciences, 430074, Wuhan, China
2
State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, 430074, Wuhan, Hubei, China
3
School of Automation, China University of Geosciences, 430074, Wuhan, China
4
School of Mathematics and Physics, China University of Geosciences, Lumo Road 388, 430074, Wuhan, China
Received:
29
January
2022
Accepted:
20
June
2022
Published online:
10
July
2022
We study the influence of light quark loops on the Wigner phase by solving coupled Dyson–Schwinger equations for quark propagator and gluon propagator. We take the gluon propagator in the Nambu phase from 
= 2 unquenched lattice QCD and choose various phenomenological models for the quark-gluon vertex. The gluon propagator in Wigner phase is assumed to be different from that in the Nambu phase only due to the vacuum polarization of the quark loop. We obtain the Wigner solution of the coupled equations, compared with that from solving only the equation of the quark propagator. We discussed the corrections by the light quark loops and the dependence on various models of the quark-gluon vertex.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
