Study of Gluon and Quark propagators in Lattice QCD at Finite Temperature
Effects of divergent ghost loops in the presence of dynamical quarks
| Full text | |
| Author(s): |
Boito, D.
;
Cucchieri, A.
;
London, C. Y.
;
Mendes, T.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 2, p. 37-pg., 2023-02-14. |
| Abstract | |
We employ Pade approximants in the study of the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions for the lattice data. We carefully propagate the uncertainties due to the fitting procedure, taking into account all possible correlations. For the gluon-propagator data, we confirm the presence of a pair of com-plex poles at p(pole)(2) = [(-0.37 +/- 0.05(stat) +/- 0.08(sys)) +/- i (0.66 +/- 0.03(stat) +/- 0.02(sys))] GeV2 , where the first error is statistical and the second systematic. The existence of this pair of complex poles, already hinted upon in previous works, is thus put onto a firmer basis, thanks to the model independence and to the careful error propagation of our analysis. For the ghost propagator, the Pades indicate the existence of a single pole at p(2) = 0 , as expected. In this case, our results also show evidence of a branch cut along the negative real axis of p(2). This is corroborated with another type of approximant, the D-Log Pades, which are better suited to studying functions with a branch cut and are applied here for the first time in this context. Due to particular features and limited statistics of the gluon-propagator data, our analysis is inconclusive regarding the presence of a branch cut in the gluon case. (AU) | |
| FAPESP's process: | 22/02328-2 - Rational approximants in g-2 of the muon |
| Grantee: | Cristiane Yumi Mise London |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 20/15532-1 - Quark-antiquark interaction: the top quark mass and the gluon propagator in the infrared regime |
| Grantee: | Cristiane Yumi Mise London |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 21/06756-6 - Testing the standard model: precision QCD and muon g-2 |
| Grantee: | Diogo Rodrigues Boito |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |