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

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

High Energy Physics - Lattice 2022-01-13 v1 High Energy Physics - Phenomenology

Authors: V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , R. N. Rogalyov

Abstract

We study numerically the dependence of the difference between the longitudinal and transverse gluon propagators, $\Delta=D_L-D_T$ , on the momentum and temperature at $T\gtrsim T_c$ both in SU(2) and SU(3) gluodynamics. It is found that the integral of $\Delta$ 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.

Keywords

gluon propagator Polyakov loop postconfinement domain SU(2) gluodynamics SU(3) gluodynamics lattice QCD

Cite

@article{arxiv.2201.04613,
  title  = {The Difference between the Longitudinal and Transverse Gluon Propagators as an Indicator of the Postconfinement Domain},
  author = {V. G. Bornyakov and N. V. Gerasimeniuk and V. A. Goy and R. N. Rogalyov},
  journal= {arXiv preprint arXiv:2201.04613},
  year   = {2022}
}

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8 pages, 6 figures, 5 tables

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

Abstract

Keywords

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