FOKKER-TYPE CONFINEMENT MODELS FROM EFFECTIVE LAGRANGIAN IN CLASSICAL YANG–MILLS THEORY

Abstract

Abelian potentials of pointlike moving sources are obtained from the nonstandard theory of Yang–Mills field. They are used for the construction of the time-symmetric and time-asymmetric Fokker-type action integrals describing the dynamics of two-particle system with confinement interaction. The time-asymmetric model is reformulated in the framework of the Hamiltonian formalism. The corresponding two-body problem is reduced to quadratures. The behavior of Regge trajectories is estimated within the semiclassical consideration.