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

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

2004-10-09

arxiv.org/abs/hep-th/0410099v2

Phys.Rev. D71 (2005) 025009

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 6 pages, two references added

Scientific paper

10.1103/PhysRevD.71.025009

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.

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