https://doi.org/10.1051/epjconf/202225802004
On boundary corrections of Lüscher-Weisz string
1 Department of Physics, Al Azhar University, Cairo 11651, Egypt
2 Department of Mathematics, Bergische Universität Wuppertal, Wuppertal 42097, Germany
3 Computation-based Science Research Center, Cyprus Institute, Nicosia 2121, Cyprus
4 Department of Physics, University of Ferrara, Ferrara 44121, Italy
5 Institute of Modern Physics, Chinese Academy of Sciences, Gansu 730000, China
6 Department of nuclear and particle physics, University of Geneva, CH-211, Switzerland
7 Department of physics, Sun Zhongshan University, Gaungdong 510275, China.
* e-mail: m.nasr@stimulate-ejd.eu
Published online: 11 January 2022
The potential and the density profile of the QCD flux-tube are investigated within the framework of the Luscher-Weisz (LW) string action with two boundary terms. The Numerical simulations involve 4D SU(3) Yang-Mills LGT at finite temperature. In general, we detect signatures of the two boundary terms considered in the LWstring action. Near the end of QCD Plateau, the LW string is yielding a static potential which is in a good agreement with the lattice data for source separations R ≥ 0.3 fm. However, at T/Tc = 0.9, the fit to the potential data improves with a good fit attained at R ≥ 0.7 fm. The mean-square width of the energy profile at T/Tc = 0.9 matches well the width of the LW string over distance scales R ≥ 0.5 fm.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.