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

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

1998-12-07

arxiv.org/abs/hep-th/9812057v1

Int.J.Mod.Phys. A14 (1999) 4519-4548

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 8 figures, submit. to Internat. J. Modern Phys. A

Scientific paper

10.1142/S0217751X99002128

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.

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