Spectral degeneracy in supersymmetric gluodynamics and one-flavor QCD related to N = 1/2 supersymmetry

A. Gorsky, M. Shifman

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

In supersymmetric gluodynamics (N = 1 super-Yang-Mills theory), we show that the spectral functions induced by the nonchiral operator Tr(G αβλ2) 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 (Ψ E Ψ + iΨ B γ5 Ψ) and (Ψ B Ψ - iΨ E γ5 Ψ) in one-flavor QCD, up to 1/N corrections. Here Ψ is the quark field, and E, B are chromoelectric/chromomagnetic fields, respectively.

Original languageEnglish (US)
Article number025009
Pages (from-to)025009-1-025009-3
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number2
DOIs
StatePublished - Jan 2005

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