Generalized quantum mechanics of non-Abelian gauge theories.

@article{Whelan1996GeneralizedQM,
  title={Generalized quantum mechanics of non-Abelian gauge theories.},
  author={William M. Whelan},
  journal={Physical review. D, Particles and fields},
  year={1996},
  volume={53 6},
  pages={
          3118-3146
        }
}
Hartle’s generalized quantum mechanics in the sum-over-histories formalism is used to describe a nonabelian gauge theory. Predictions are made for certain alternatives, with particular attention given to coarse grainings involving the constraint. In this way, the theory is compared to other quantum-mechanical descriptions of gauge theories in which the constraints are imposed by hand. The vanishing of the momentum space constraint is seen to hold, both through a simple formal argument and via a… CONTINUE READING
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