Vacuum Wave Functional of Pure Yang-Mills Theory and Dimensional Reduction

Details Vacuum Wave Functional of Pure Yang-Mills Theory and Dimensional Reduction Vacuum Wave Functional of Pure Yang-Mills Theory and Dimensional Reduction

1996-07-23

arxiv.org/abs/hep-th/9607176v2

Prog.Theor.Phys. 97 (1997) 939-948

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX file

Scientific paper

10.1143/PTP.97.939

Working in a Hamiltonian formulation with $A_0 = 0$ gauge and also in a path integral formulation, we show that the vacuum wave functional of four-dimensional pure Yang-Mills theory has the form of the exponential of a {\it three}-dimensional Yang-Mills action. This result implies that vacuum expectation values can be calculated in Yang-Mills theory but one dimension lower. Our analysis reveals that this dimensional reduction results from a stochastic nature of the theory.

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