Fokker-Type Confinement Models from Effective Lagrangian in Classical Yang-Mills Theory

TL;DR

This paper derives Fokker-type confinement models from an effective Lagrangian in classical Yang-Mills theory, providing new insights into two-particle dynamics and Regge trajectories.

Contribution

It introduces a novel approach to modeling confinement in Yang-Mills theory using Fokker-type actions and reformulates the time-asymmetric model in Hamiltonian formalism.

Findings

Derived Abelian potentials for moving sources in Yang-Mills theory.

Constructed Fokker-type action integrals for two-particle confinement.

Estimated Regge trajectories semiclassically.

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 behaviour of Regge trajectories is estimated within the semiclassical consideration.