Abstract
The temperature dependence of the Landau gauge ghost propagator is investigated in pure SU(3) Yang-Mills theory with lattice QCD simulations. Its behavior around the confined-deconfined phase transition temperature, Tc ∼ 270 MeV, is investigated. The simulations show that in the deconfined phase, the ghost propagator is enhanced for small momenta, ≲ 1 GeV. Furthermore, the analysis of the spontaneous breaking of center symmetry on the ghost propagator is studied. Similarly as observed for the gluon propagator, the simulations result in a decoupling of the sectors where the phase of the Polyakov loop is either 0 or ±2π/3 sectors, with the latter remaining indistinguishable. The results point to the possible use of the ghost propagator as an “order parameter” for the confined-deconfined phase transition.
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Acknowledgments
This work was partly supported by the FCT — Fundação para a Ciência e a Tecnologia, I.P., under Projects UIDB/04564/2020 (https://doi.org/10.54499/UIDP/04564/2020), UIDP/04564/2020 (https://doi.org/10.54499/UIDP/04564/2020) and CERN/FIS-COM/0029/2017. P.J.S. acknowledges financial support from FCT (Portugal) under Contract No. CEECIND/00488/2017 (https://doi.org/10.54499/CEECIND/00488/2017/CP1460/CT0030). The authors acknowledge the Laboratory for Advanced Computing at the University of Coimbra (http://www.uc.pt/lca) for providing access to the HPC resources that have contributed to the research within this paper. Access to Navigator was partly supported by the FCT Advanced Computing Project 2021.09759.CPCA.
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Paiva, V., Silva, P.J. & Oliveira, O. Deconfinement, center symmetry and the ghost propagator in Landau gauge pure SU(3) Yang-Mills theory. J. High Energ. Phys. 2024, 164 (2024). https://doi.org/10.1007/JHEP05(2024)164
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DOI: https://doi.org/10.1007/JHEP05(2024)164