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Zero Modes of Gauss Constraint in Gaugeless Reduction of Yang-Mills Theory

机译:Yang-mills理论无量纲约简中高斯约束的零模式

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The physical variables for pure Yang-Mills theory in four-dimensional Minkowski space-time are constructed without using a gauge-fixing condition by the explicit resolving of the non-Abelian Gauss constraint and by the Bogolyubov transformation that diagonalizes the kinetic term in reduced action (action on constraint shell). As a result, the reduced action is expressed in terms of gauge invariant field variables including an additional global (only time-dependent) one, describing zero mode dynamics of the Gauss constraint. This additional variable reflects the symmetry group of topologically nontrivial transformations remaining after the reduction. (It gives also the characteristic of the Gribov ambiguity from the point of view of the gauge fixing method). The perturbation theory in terms of quasiparticles with the new stable vacuum, which is defined through the zero mode configuration, is proposed. It was shown that the averaging of Green's functions for quasiparticles over the global variable describes the mechanism of color confinement. 21 refs. (Atomindex citation 26:031575)

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