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Vacuum Periodicity in a Yang-Mills Quantum Theory

1976; American Physical Society; Volume: 37; Issue: 3 Linguagem: Inglês

10.1103/physrevlett.37.172

1092-0145

R. Jackiw, C. Rebbi,

Quantum Chromodynamics and Particle Interactions

We propose a description of the vacuum in Yang-Mills theory and arrive at a physical interpretation of the pseudoparticle solution and the attendant violation of symmetries. The existence of topologically inequivalent classical gauge fields gives rise to a family of quantum mechanical vacua, parametrized by a $\mathrm{CP}$-nonconserving angle. The requirement of vacuum stability against gauge transformations renders the vacua chirally noninvariant.