Classical Yang Mills equations with sources: Consequences of specific scalar potentials

نویسندگان

چکیده

Some well known gauge scalar potential very often considered or used in the literature are investigated by means of classical Yang Mills equations for $SU(2)$ subgroups $N_c=3$. By fixing a particular shape potential, resulting vector potentials and corresponding color-charges sources found. adopting spherical coordinate system, it is shown that spherically symmetric solutions, only dependent on radial coordinate, possible Abelian limit, otherwise, there must have angle-dependent component(s). The following solutions investigated: Coulomb non-spherically generalization, linear $A_0 (\vec{r}) \sim (\kappa r)$, Yukawa-type (C e^{-r/r_0}/r)$ finite spatial regions which assumes constant values. chromo-electric chromo-magnetic fields, as color-charge densities, found to strong deviations from configurations. We speculate these types configurations may contribute (or favor) (anisotropic) confinement mechanism since they should favor color charge-anti-charge three-color-charge) bound states intrinsically non with (asymmetric) fluxes. Specific conditions relations between parameters also presented.

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ژورنال

عنوان ژورنال: Annals of Physics

سال: 2022

ISSN: ['1096-035X', '0003-4916']

DOI: https://doi.org/10.1016/j.aop.2022.169026