Spectral degeneracy in supersymmetric gluodynamics and one-flavor QCD related to N=1/2 supersymmetry -: art. no. 025009

In supersymmetric gluodynamics (N=1 super-Yang-Mills theory), we show that the spectral functions induced by the nonchiral operator Tr(G(alphabeta)(lambda) over bar (2)) are fully degenerate in the J(PC)=1(+/--) 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 ((Psi) over bar(E) over right arrow Psi + i (Psi) over bar(B) over right arrow gamma(5)Psi) and ((Psi) over bar(B) over right arrow Psi - i (Psi) over bar(E) over right arrow gamma(5)Psi) in one-flavor QCD, up to 1/N corrections. Here Psi is the quark field, and (E) over right arrow,(B) over right arrow are chromoelectric/chromomagnetic fields, respectively.