The Difference between the Longitudinal and Transverse Gluon Propagators as an Indicator of the Postconfinement Domain

V. G. Bornyakov; N. V. Gerasimeniuk; V. A. Goy; R. N. Rogalyov

paper

The Difference between the Longitudinal and Transverse Gluon Propagators as an Indicator of the Postconfinement Domain

arXiv:2201.04613

Abstract

We study numerically the dependence of the difference between the longitudinal and transverse gluon propagators, $Δ = D_{L} - D_{T}$ , on the momentum and temperature at $T ≳ T_{c}$ both in SU(2) and SU(3) gluodynamics. It is found that the integral of $Δ$ with respect to the 3-momentum is sensitive only to infrared dynamics and shows a substantial correlation with the Polyakov loop. At $T = T_{p} \sim 1.2 T_{c}$ it changes sign giving some evidence that $T_{p}$ can serve as a boundary of the postconfinement domain.

8 pages, 6 figures, 5 tables