Properties of the SU(N_c) Yang-Mills vacuum state

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, Latex, no figures; additional explanations are given in sects.1 and 3; the final version

Scientific paper

The asymptotic behaviour of the vacuum energy density, ${\bar E}(\theta)$, at $\theta \ra \pm i \infty$ is found out. A new interpretation and a qualitative discussion of the ${\bar E}(\theta)$ behaviour are presented. It is emphasized that the vacuum is doubly degenerate at $\theta=\pi$, and the quark electric string can terminate on the domain wall interpolating between these two vacua. The potential of the monopole field condensing in the Yang-Mills vacuum is obtained.

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