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

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.

arXiv commentLatex, 6 pages, two references added

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Cited by in corpus (15)

• Echoes of a Hidden Valley at Hadron Colliders
• Quark condensate in two-flavor QCD
• Supersymmetry vs ghosts
• Quark condensate in one-flavor QCD
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Non(anti)commutative superspace with coordinate-dependent deformation
• N=1/2 supersymmetric four-dimensional non-linear sigma-models from non-anti-commutative superspace
• More on the Tensor Response of the QCD Vacuum to an External Magnetic Field
• Quantum Mechanics in Non(Anti)Commutative Superspace
• A coordinate-dependent superspace deformation from string theory
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• The one-flavor quark condensate and related problems
• Degeneracies in Supersymmetric Gluodynamics and its Orientifold Daughters at large N