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arXiv · hep-th/9809184

Domain Walls and Decay Rate of the Excited Vacua in the Large N Yang-Mills Theory

M. Shifman
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Abstract

In the (non-supersymmetric) Yang-Mills theory in the large N limit there exists an infinite set of non-degenerate vacua. The distinct vacua are separated by domain walls whose tension determines the decay rate of the false vacua. I discuss the phenomenon from a field-theoretic point of view, starting from supersymmetric gluodynamics and then breaking supersymmetry, by introducing a gluino mass. By combining previously known results, the decay rate of the excited vacua is estimated, Γ\sim \exp (-const \times N^4). The fourth power of N in the exponent is a consequence of the fact that the wall tension is proportional to N.

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M. Shifman. 1998-09-25. Domain Walls and Decay Rate of the Excited Vacua in the Large N Yang-Mills Theory. https://doi.org/10.1103/physrevd.59.021501

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