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Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY

A. Gorsky·M. Shifman
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Abstract

In supersymmetric gluodynamics (N=1 super-Yang-Mills theory) we show that the spectral functions induced by the nonchiral operator Tr G_{αβ} \barλ^2 are fully degenerate in the J^{PC}=1^{\pm -} channels. The above operator is related to N=1/2 generalization of SUSY. Using the planar equivalence, this translates into the statement of degeneracy between the mesons produced from the vacuum by the operators (\bar Ψ\vec EΨ+ i\bar Ψ\vec B γ^5Ψ) and (\bar Ψ\vec BΨ- i\bar Ψ\vec E γ^5Ψ) in one-flavor QCD, up to 1/N corrections. Here Ψis the quark field, and \vec E ,\vec B are chromoelectric/chromomagnetic fields, respectively.

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A. Gorsky, M. Shifman. 2004-11-08. Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY. https://doi.org/10.1103/physrevd.71.025009

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