10-20E

# 10-20E

By - Posted on 08 February 2012

UDC:
531/533; 530.145; 531.18; 539.12
PACS:
11.10.Ef, 11.10.Lm

On confinement interactions in scalar generalizations of the dipole model

Yu.W. Darewych
A. Duviryak

Two modified versions of the dipole model with a pair of mediating fields are considered. First modification affects the Yukawa term in the Lagrangian. In the second version non-linear self-action term is added. By constructing exact solutions of the field equations with the use of a covariant Green function we derive a Lagrangian with many-point time-nonlocal interaction terms. For the linear dipole model the two-particle interaction, in the non-relativistic limit, is shown to be a sum of Coulomb and linear confinement terms. For the nonlinear $\varphi^3$--model the interactions are shown to include pairwise potentials and also three-particle cluster potentials with logarithmic confinement. Approaches towards a consistent relativistic treatment of the models are proposed, and the problem of divergences is discussed.

Year:
2010
Pages:
18