Vacuum Nodes in QCD at $θ=π$: Exact Results

Details Vacuum Nodes in QCD at $θ=π$: Exact Results Vacuum Nodes in QCD at $θ=π$: Exact Results

1997-11-13

arxiv.org/abs/hep-th/9711095v1

Phys.Rev.Lett. 77 (1996) 3074

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, revtex

Scientific paper

10.1103/PhysRevLett.77.3074

We show that the vacuum functional of 3+1 dimensional non-abelian gauge theories vanishes for some classical field configurations $\psi_0(A)=0$ when the coefficient of the CP violating $\theta$--term becomes $\theta=\pi$ (mod. $2\pi$). Some of these classical configurations are explicitly identified and include sphalerons. The results shed new light into the non-perturbative behavior of non-abelian gauge theories and suggest a relevant role for these classical configurations in the confinement mechanism at $\theta=0$.

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