17–31 Jul 2025
Orthodox Academy of Crete, Kolymbari, Crete, Greece
Europe/Athens timezone
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$\Upsilon$ - like distribution of the electric field in the SU(3) Yang-Mills-Proca theory with three quarks

18 Jul 2025, 17:30
30m
Room 3

Room 3

Talk Workshop on QCD Workshop on QCD

Speaker

Prof. Vladimir Dzhunushaliev

Description

Within Yang-Mills-Proca theory with external sources, finite-energy regular solutions have been obtained. It is shown that color electric/magnetic fields have two components: the first one is a gradient/curl component, respectively, and the second one is a nonlinear component. It is shown that the color electric field has $\Upsilon-$like spatial distribution. In this case, the $\Upsilon-$like behavior appears due to the gradient component of the electric field. The nonlinear component of the electric field is rotational one, and it arises because of the vector potential sourced by the solenoidal current. The color magnetic field is purely curl one, since its nonzero color components have no nonlinear component; this results in the fact that its force lines are located on the surface of a torus. It is shown that the results obtained are in good agreement with the results obtained in lattice calculations in quantum chromodynamics. To discuss such agreement, we consider a procedure of nonperturbative quantization and discuss possible approximations leading to such agreement. We also compare the energy profiles obtained by us with those obtained using lattice calculations with a static potential.

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Author

Prof. Vladimir Dzhunushaliev

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