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

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

1998-09-25

arxiv.org/abs/hep-th/9809184v1

Phys.Rev.D59:021501,1999

Physics

High Energy Physics

High Energy Physics - Theory

Plain Latex, 6 pages, no figures

Scientific paper

10.1103/PhysRevD.59.021501

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, \Gamma \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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