ON OPERATOR CONSTRUCTION OF FUNCTIONAL INTEGRAL IN NON-ABELIAN GAUGE THEORY

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Abstract
Here we suggest a gauge-invariant and relativistic-covariant operator canonical construction of the path integral that is useful for considering the problems whose solutions in conventional approaches depend on the gauge choice. We consider the fermionic Green function, gauge ambiguities and infrared behaviour of non-Abelian theories. We show that the “constructive” approach not only solves such an old problem as a correct definition of analytical properties of the fermionic Green functions but also leads to a new picture of colour confinement based on the phenomenon of destructive interference of phase factors arising in the construction of physical variables.

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