Classical Yang Mills equations with sources: consequences of specific scalar potentials
Nenhuma Miniatura disponível
Data
2022
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
Some well known gauge scalar potential very often considered or
used in the literature are investigated by means of the classical
Yang Mills equations for the SU(2) subgroups of Nc = 3. By
fixing a particular shape for the scalar potential, the resulting
vector potentials and the corresponding color-charge distributions are found. By adopting the spherical coordinate system, it
is shown that spherically symmetric solutions, only dependent
on the radial coordinate, are only possible for the Abelian limit,
otherwise, there must have angle-dependent component(s). The
following solutions for the scalar potential are investigated:
the Coulomb potential and a non-spherically symmetric generalization, a linear potential A0(⃗r) ∼ (κr), a Yukawa-type
potential A0(⃗r) ∼ (Ce−r/r0 /r) and finite spatial regions in which
the scalar potential assumes constant values. The corresponding chromo-electric and chromo-magnetic fields, as well as the
color-charge densities, are found to have strong deviations from
the spherical symmetric configurations. We speculate these types
of non-spherically symmetric configurations may contribute (or
favor) for the (anisotropic) confinement mechanism since they
should favor color charge-anti-charge (or three-color-charge)
bound states that are intrinsically non spherically symmetric
with (asymmetric) confinement of fluxes. Specific conditions
and relations between the parameters of the solutions are also
presented.
Descrição
Palavras-chave
Citação
FROLDI, Igor de M.; BRAGHIN, Fabio L. Classical Yang Mills equations with sources: consequences of specific scalar potentials. Annals of Physics, Amsterdam, v. 444, e169026, 2022. DOI: 10.1016/j.aop.2022.169026. Disponível em: https://www.sciencedirect.com/science/article/pii/S0003491622001609. Acesso em: 14 set. 2023