2004/10/31 by A. Gorsky, M. Shifman, Mikhail Shifman · 2 citations
Physics and Astronomy · #Bar (unit) #Black Holes and Theoretical Physics #Degeneracy (biology) #Degenerate energy levels #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.71.025009
published as Phys.Rev. D71 (2005) 025009 · Latex, 6 pages, two references added
arxiv created 2004/11/08 · openalex publication_date 2005/01/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In supersymmetric gluodynamics (N=1 super-Yang-Mills theory), we show that the spectral functions induced by the nonchiral operator Tr(G_\ensuremathα\ensuremathβ\ensuremathλ2) are fully degenerate in the JPC=1^\ifmmode±\else\textpm\fi\ensuremath- 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 (\ensuremathΨ\stackrel\ensuremath→E\ensuremathΨ+i\ensuremathΨ\stackrel\ensuremath→B\ensuremathγ5\ensuremathΨ) and (\ensuremathΨ\stackrel\ensuremath→B\ensuremathΨ\ensuremath-i\ensuremathΨ\stackrel\ensuremath→E\ensuremathγ5\ensuremathΨ) in one-flavor QCD, up to 1/N corrections. Here \ensuremathΨ is the quark field, and \stackrel\ensuremath→E,\stackrel\ensuremath→B are chromoelectric/chromomagnetic fields, respectively.