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Poincare invariance in temporal gauge canonical quantization and θ\theta-vacua

Abstract

The Poincare invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying the energy-momentum-vector and angular-momentum-tensor satisfy the Poincare algebra in the physical Hilbert space. Two different values of θ\theta for the θ\theta-term in QCD lagrangian lead to different representations of the Poincare group, which are, however, connected by an unitary transformation. Thus the parameter θ\theta becomes physically irrelevant unless we can further restrict the physical Hilbert space.Comment: 18 pages, UCRHEP-T10

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    Last time updated on 03/01/2020