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Dynamical supersymmetry breaking and asymptotic freedom in nonAbelian gauge theories

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DOI: 10.1103/PhysRevD.45.2165
OAI: oai:inspirehep.net:30518
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INSPIRE-HEP
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Abstract

We extend Witten's result that dynamical supersymmetry breaking does not occur in non-Abelian gauge theories which do not depend on a vacuum angle. It is shown that the possibility of dynamical supersymmetry breaking in supersymmetric non-Abelian gauge theories is intimately related to the asymptotic freedom of Yang-Mills theories. In supersymmetric non-Abelian gauge theories with asymptotic freedom, dynamical supersymmetry breaking does not occur through a positive vacuum energy for an arbitrary gauge coupling constant regardless of any dependence on the vacuum angle in the theories, assuming the full gauge symmetry in the limit of small g in the quantum theory. Such a special example is the minimal supersymmetric non-Abelian gauge theories in four dimensions.

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