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Vacuum Periodicity in a Yang-Mills Quantum Theory

R. JackiwLaboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, MassachusettsC. RebbiLaboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts
1976en
ABI

Abstract

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.

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