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

Details Poincare invariance in temporal gauge canonical quantization and \(θ\)-vacua Poincare invariance in temporal gauge canonical quantization and \(θ\)-vacua

1993-02-09

arxiv.org/abs/hep-th/9302045v1

Int.J.Mod.Phys. A9 (1994) 2741-2754

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, UCRHEP-T104

Scientific paper

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 \(\theta\) for the $\theta$-term in QCD lagrangian lead to different representations of the Poincare group, which are, however, connected by an unitary transformation. Thus the parameter \(\theta\) becomes physically irrelevant unless we can further restrict the physical Hilbert space.

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