The Parisi-Sourlas Mechanism in Yang-Mills Theory?

Details The Parisi-Sourlas Mechanism in Yang-Mills Theory? The Parisi-Sourlas Mechanism in Yang-Mills Theory?

1999-10-29

arxiv.org/abs/hep-th/9910240v1

Int.J.Mod.Phys. A15 (2000) 1613-1628

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LATEX

Scientific paper

10.1142/S0217751X00000720

The Parisi-Sourlas mechanism is exhibited in pure Yang-Mills theory. Using the new scalar degrees of freedom derived from the non-linear gauge condition, we show that the non-perturbative sector of Yang-Mills theory is equivalent to a 4D O(1,3) sigma model in a random field. We then show that the leading term of this equivalent theory is invariant under supersymmetry transformations where (x^{2}+\thetabar\theta) is unchanged. This leads to dimensional reduction proving the equivalence of the non-perturbative sector of Yang-Mills theory to a 2D O(1,3) sigma model.

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