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

TL;DR

This paper demonstrates spectral degeneracy in supersymmetric gluodynamics and relates it to one-flavor QCD via planar equivalence, revealing degeneracies in meson spectra associated with a N=1/2 SUSY generalization.

Contribution

It establishes spectral degeneracy in N=1 super-Yang-Mills theory and connects it to meson degeneracies in one-flavor QCD through planar equivalence, involving a N=1/2 SUSY extension.

Findings

Spectral functions in supersymmetric gluodynamics are fully degenerate in specific channels.

Degeneracy translates to meson operators in one-flavor QCD up to 1/N corrections.

The work links supersymmetric spectral properties to QCD meson spectra.

Abstract

In supersymmetric gluodynamics (N=1 super-Yang-Mills theory) we show that the spectral functions induced by the nonchiral operator Tr G_{\alpha\beta} \bar\lambda^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 \Psi \vec E\Psi + i\bar \Psi \vec B \gamma^5\Psi) and (\bar \Psi \vec B\Psi - i\bar \Psi \vec E \gamma^5\Psi) in one-flavor QCD, up to 1/N corrections. Here \Psi is the quark field, and \vec E ,\vec B are chromoelectric/chromomagnetic fields, respectively.